2,590,521

3 × 239 × 3613

Starting at 2,590,521, the Collatz iteration reaches 1 after 94 steps. The first transition is 7771564; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 239 × 3613

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,469,440

Proper Divisor Sum 878,919

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #2590507 ← → #2590537

Radix Representation

Decimal	2590521
Binary	1001111000011100111001 (22 bits)
Octal	0o11703471
Hexadecimal	0x278739

Divisor Catalog (8)

1 3 239 717 3,613 10,839 863,507 2,590,521

Collatz Trajectory (94 steps to reach 1)

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

2,590,521 7,771,564 3,885,782 1,942,891 5,828,674 2,914,337 8,743,012 4,371,506 2,185,753 6,557,260 3,278,630 1,639,315 4,917,946 2,458,973 7,376,920 3,688,460 1,844,230 922,115 2,766,346 1,383,173 4,149,520 2,074,760 1,037,380 518,690 259,345 778,036 389,018 194,509 583,528 291,764 145,882 72,941 218,824 109,412 54,706 27,353 82,060 41,030 20,515 61,546 30,773 92,320 46,160 23,080 11,540 5,770 2,885 8,656 4,328 2,164 1,082 541 1,624 812 406 203 610 305 916 458

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