2,613,927

3 × 23 × 43 × 881

Starting at 2,613,927, the Collatz iteration reaches 1 after 187 steps. The first transition is 7841782; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 23 × 43 × 881

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 3,725,568

Proper Divisor Sum 1,111,641

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #2613901 ← → #2613931

Radix Representation

Decimal	2613927
Binary	1001111110001010100111 (22 bits)
Octal	0o11761247
Hexadecimal	0x27E2A7

Divisor Catalog (16)

1 3 23 43 69 129 881 989 2,643 2,967 20,263 37,883 60,789 113,649 871,309 2,613,927

Collatz Trajectory (187 steps to reach 1)

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

2,613,927 7,841,782 3,920,891 11,762,674 5,881,337 17,644,012 8,822,006 4,411,003 13,233,010 6,616,505 19,849,516 9,924,758 4,962,379 14,887,138 7,443,569 22,330,708 11,165,354 5,582,677 16,748,032 8,374,016 4,187,008 2,093,504 1,046,752 523,376 261,688 130,844 65,422 32,711 98,134 49,067 147,202 73,601 220,804 110,402 55,201 165,604 82,802 41,401 124,204 62,102 31,051 93,154 46,577 139,732 69,866 34,933 104,800 52,400 26,200 13,100 6,550 3,275 9,826 4,913 14,740 7,370 3,685 11,056 5,528 2,764

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