7,997,122

2 × 7 × 571223

Starting at 7,997,122, the Collatz iteration reaches 1 after 279 steps. The first transition is 3998561; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 571223

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 13,709,376

Proper Divisor Sum 5,712,254

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #7997113 ← → #7997131

Radix Representation

Decimal	7997122
Binary	11110100000011011000010 (23 bits)
Octal	0o36403302
Hexadecimal	0x7A06C2

Divisor Catalog (8)

1 2 7 14 571,223 1,142,446 3,998,561 7,997,122

Collatz Trajectory (279 steps to reach 1)

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

7,997,122 3,998,561 11,995,684 5,997,842 2,998,921 8,996,764 4,498,382 2,249,191 6,747,574 3,373,787 10,121,362 5,060,681 15,182,044 7,591,022 3,795,511 11,386,534 5,693,267 17,079,802 8,539,901 25,619,704 12,809,852 6,404,926 3,202,463 9,607,390 4,803,695 14,411,086 7,205,543 21,616,630 10,808,315 32,424,946 16,212,473 48,637,420 24,318,710 12,159,355 36,478,066 18,239,033 54,717,100 27,358,550 13,679,275 41,037,826 20,518,913 61,556,740 30,778,370 15,389,185 46,167,556 23,083,778 11,541,889 34,625,668 17,312,834 8,656,417 25,969,252 12,984,626 6,492,313 19,476,940 9,738,470 4,869,235 14,607,706 7,303,853 21,911,560 10,955,780

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