2,527,005

3 × 5 × 13 × 12959

2,527,005 factors as 3 × 5 × 13 × 12959. Its 16 positive divisors give a proper-divisor sum of 1,827,555, so this integer is deficient. The Collatz stopping time is 218 steps.

Prime Factor Structure

Factorization String 3 × 5 × 13 × 12959

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,354,560

Proper Divisor Sum 1,827,555

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #2526991 ← → #2527009

Radix Representation

Decimal	2527005
Binary	1001101000111100011101 (22 bits)
Octal	0o11507435
Hexadecimal	0x268F1D

Divisor Catalog (16)

1 3 5 13 15 39 65 195 12,959 38,877 64,795 168,467 194,385 505,401 842,335 2,527,005

Collatz Trajectory (218 steps to reach 1)

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

2,527,005 7,581,016 3,790,508 1,895,254 947,627 2,842,882 1,421,441 4,264,324 2,132,162 1,066,081 3,198,244 1,599,122 799,561 2,398,684 1,199,342 599,671 1,799,014 899,507 2,698,522 1,349,261 4,047,784 2,023,892 1,011,946 505,973 1,517,920 758,960 379,480 189,740 94,870 47,435 142,306 71,153 213,460 106,730 53,365 160,096 80,048 40,024 20,012 10,006 5,003 15,010 7,505 22,516 11,258 5,629 16,888 8,444 4,222 2,111 6,334 3,167 9,502 4,751 14,254 7,127 21,382 10,691 32,074 16,037

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