2,647,762

2 × 13 × 101837

Starting at 2,647,762, the Collatz iteration reaches 1 after 125 steps. The first transition is 1323881; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 101837

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,277,196

Proper Divisor Sum 1,629,434

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #2647759 ← → #2647763

Radix Representation

Decimal	2647762
Binary	1010000110011011010010 (22 bits)
Octal	0o12063322
Hexadecimal	0x2866D2

Divisor Catalog (8)

1 2 13 26 101,837 203,674 1,323,881 2,647,762

Collatz Trajectory (125 steps to reach 1)

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

2,647,762 1,323,881 3,971,644 1,985,822 992,911 2,978,734 1,489,367 4,468,102 2,234,051 6,702,154 3,351,077 10,053,232 5,026,616 2,513,308 1,256,654 628,327 1,884,982 942,491 2,827,474 1,413,737 4,241,212 2,120,606 1,060,303 3,180,910 1,590,455 4,771,366 2,385,683 7,157,050 3,578,525 10,735,576 5,367,788 2,683,894 1,341,947 4,025,842 2,012,921 6,038,764 3,019,382 1,509,691 4,529,074 2,264,537 6,793,612 3,396,806 1,698,403 5,095,210 2,547,605 7,642,816 3,821,408 1,910,704 955,352 477,676 238,838 119,419 358,258 179,129 537,388 268,694 134,347 403,042 201,521 604,564

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