2,724,879

3 × 17 × 23² × 101

2,724,879 factors as 3 × 17 × 23^2 × 101. Its 24 positive divisors give a proper-divisor sum of 1,336,353, so this integer is deficient. The Collatz stopping time is 107 steps.

Prime Factor Structure

Factorization String 3 × 17 × 23^2 × 101

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 4,061,232

Proper Divisor Sum 1,336,353

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #2724877 ← → #2724929

Radix Representation

Decimal	2724879
Binary	1010011001010000001111 (22 bits)
Octal	0o12312017
Hexadecimal	0x29940F

Divisor Catalog (24)

1 3 17 23 51 69 101 303 391 529 1,173 1,587 1,717 2,323 5,151 6,969 8,993 26,979 39,491 53,429 118,473 160,287 908,293 2,724,879

Collatz Trajectory (107 steps to reach 1)

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

2,724,879 8,174,638 4,087,319 12,261,958 6,130,979 18,392,938 9,196,469 27,589,408 13,794,704 6,897,352 3,448,676 1,724,338 862,169 2,586,508 1,293,254 646,627 1,939,882 969,941 2,909,824 1,454,912 727,456 363,728 181,864 90,932 45,466 22,733 68,200 34,100 17,050 8,525 25,576 12,788 6,394 3,197 9,592 4,796 2,398 1,199 3,598 1,799 5,398 2,699 8,098 4,049 12,148 6,074 3,037 9,112 4,556 2,278 1,139 3,418 1,709 5,128 2,564 1,282 641 1,924 962 481

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