λ
Math Directory

9,079,602

2 × 3 × 72 × 89 × 347
Abundant Even Composite

9,079,602 factors as 2 × 3 × 7^2 × 89 × 347. Its 48 positive divisors give a proper-divisor sum of 12,343,278, so this integer is abundant. The Collatz stopping time is 88 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7^2 × 89 × 347
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 21,422,880
Proper Divisor Sum 12,343,278
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9079571 ← → #9079607

Radix Representation

Decimal 9079602
Binary 100010101000101100110010 (24 bits)
Octal 0o42505462
Hexadecimal 0x8A8B32

Divisor Catalog (48)

1 2 3 6 7 14 21 42 49 89 98 147 178 267 294 347 534 623 694 1,041 1,246 1,869 2,082 2,429 3,738 4,361 4,858 7,287 8,722 13,083 14,574 17,003 26,166 30,883 34,006 51,009 61,766 92,649 102,018 185,298 216,181 432,362 648,543 1,297,086 1,513,267 3,026,534 4,539,801 9,079,602

Collatz Trajectory (88 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

9,079,602 4,539,801 13,619,404 6,809,702 3,404,851 10,214,554 5,107,277 15,321,832 7,660,916 3,830,458 1,915,229 5,745,688 2,872,844 1,436,422 718,211 2,154,634 1,077,317 3,231,952 1,615,976 807,988 403,994 201,997 605,992 302,996 151,498 75,749 227,248 113,624 56,812 28,406 14,203 42,610 21,305 63,916 31,958 15,979 47,938 23,969 71,908 35,954 17,977 53,932 26,966 13,483 40,450 20,225 60,676 30,338 15,169 45,508 22,754 11,377 34,132 17,066 8,533 25,600 12,800 6,400 3,200 1,600

More profiles

← Previous Integer #9,079,601 Browse Full Index Next Integer #9,079,603 →