λ
Math Directory

7,976,723

17 × 469219
Deficient Odd Composite

7,976,723 factors as 17 × 469219. Its 4 positive divisors give a proper-divisor sum of 469,237, so this integer is deficient. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 17 × 469219
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,445,960
Proper Divisor Sum 469,237
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #7976707 ← → #7976753

Radix Representation

Decimal 7976723
Binary 11110011011011100010011 (23 bits)
Octal 0o36333423
Hexadecimal 0x79B713

Divisor Catalog (4)

1 17 469,219 7,976,723

Collatz Trajectory (124 steps to reach 1)

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

7,976,723 23,930,170 11,965,085 35,895,256 17,947,628 8,973,814 4,486,907 13,460,722 6,730,361 20,191,084 10,095,542 5,047,771 15,143,314 7,571,657 22,714,972 11,357,486 5,678,743 17,036,230 8,518,115 25,554,346 12,777,173 38,331,520 19,165,760 9,582,880 4,791,440 2,395,720 1,197,860 598,930 299,465 898,396 449,198 224,599 673,798 336,899 1,010,698 505,349 1,516,048 758,024 379,012 189,506 94,753 284,260 142,130 71,065 213,196 106,598 53,299 159,898 79,949 239,848 119,924 59,962 29,981 89,944 44,972 22,486 11,243 33,730 16,865 50,596

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