1,262,727

3² × 173 × 811

Starting at 1,262,727, the Collatz iteration reaches 1 after 129 steps. The first transition is 3788182; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 173 × 811

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,836,744

Proper Divisor Sum 574,017

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1262717 ← → #1262731

Radix Representation

Decimal	1262727
Binary	100110100010010000111 (21 bits)
Octal	0o4642207
Hexadecimal	0x134487

Divisor Catalog (12)

1 3 9 173 519 811 1,557 2,433 7,299 140,303 420,909 1,262,727

Collatz Trajectory (129 steps to reach 1)

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

1,262,727 3,788,182 1,894,091 5,682,274 2,841,137 8,523,412 4,261,706 2,130,853 6,392,560 3,196,280 1,598,140 799,070 399,535 1,198,606 599,303 1,797,910 898,955 2,696,866 1,348,433 4,045,300 2,022,650 1,011,325 3,033,976 1,516,988 758,494 379,247 1,137,742 568,871 1,706,614 853,307 2,559,922 1,279,961 3,839,884 1,919,942 959,971 2,879,914 1,439,957 4,319,872 2,159,936 1,079,968 539,984 269,992 134,996 67,498 33,749 101,248 50,624 25,312 12,656 6,328 3,164 1,582 791 2,374 1,187 3,562 1,781 5,344 2,672 1,336

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