2,590,939

13² × 15331

Starting at 2,590,939, the Collatz iteration reaches 1 after 293 steps. The first transition is 7772818; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 13^2 × 15331

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 2,805,756

Proper Divisor Sum 214,817

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #2590937 ← → #2590943

Radix Representation

Decimal	2590939
Binary	1001111000100011011011 (22 bits)
Octal	0o11704333
Hexadecimal	0x2788DB

Divisor Catalog (6)

1 13 169 15,331 199,303 2,590,939

Collatz Trajectory (293 steps to reach 1)

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

2,590,939 7,772,818 3,886,409 11,659,228 5,829,614 2,914,807 8,744,422 4,372,211 13,116,634 6,558,317 19,674,952 9,837,476 4,918,738 2,459,369 7,378,108 3,689,054 1,844,527 5,533,582 2,766,791 8,300,374 4,150,187 12,450,562 6,225,281 18,675,844 9,337,922 4,668,961 14,006,884 7,003,442 3,501,721 10,505,164 5,252,582 2,626,291 7,878,874 3,939,437 11,818,312 5,909,156 2,954,578 1,477,289 4,431,868 2,215,934 1,107,967 3,323,902 1,661,951 4,985,854 2,492,927 7,478,782 3,739,391 11,218,174 5,609,087 16,827,262 8,413,631 25,240,894 12,620,447 37,861,342 18,930,671 56,792,014 28,396,007 85,188,022 42,594,011 127,782,034

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