2,781,004

2² × 239 × 2909

2,781,004 factors as 2^2 × 239 × 2909. Its 12 positive divisors give a proper-divisor sum of 2,107,796, so this integer is deficient. The Collatz stopping time is 138 steps.

Prime Factor Structure

Factorization String 2^2 × 239 × 2909

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,888,800

Proper Divisor Sum 2,107,796

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #2781001 ← → #2781007

Radix Representation

Decimal	2781004
Binary	1010100110111101001100 (22 bits)
Octal	0o12467514
Hexadecimal	0x2A6F4C

Divisor Catalog (12)

1 2 4 239 478 956 2,909 5,818 11,636 695,251 1,390,502 2,781,004

Collatz Trajectory (138 steps to reach 1)

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

2,781,004 1,390,502 695,251 2,085,754 1,042,877 3,128,632 1,564,316 782,158 391,079 1,173,238 586,619 1,759,858 879,929 2,639,788 1,319,894 659,947 1,979,842 989,921 2,969,764 1,484,882 742,441 2,227,324 1,113,662 556,831 1,670,494 835,247 2,505,742 1,252,871 3,758,614 1,879,307 5,637,922 2,818,961 8,456,884 4,228,442 2,114,221 6,342,664 3,171,332 1,585,666 792,833 2,378,500 1,189,250 594,625 1,783,876 891,938 445,969 1,337,908 668,954 334,477 1,003,432 501,716 250,858 125,429 376,288 188,144 94,072 47,036 23,518 11,759 35,278 17,639

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