2,769,676

2² × 7² × 13 × 1087

Starting at 2,769,676, the Collatz iteration reaches 1 after 156 steps. The first transition is 1384838; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 13 × 1087

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 6,077,568

Proper Divisor Sum 3,307,892

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #2769647 ← → #2769677

Radix Representation

Decimal	2769676
Binary	1010100100001100001100 (22 bits)
Octal	0o12441414
Hexadecimal	0x2A430C

Divisor Catalog (36)

1 2 4 7 13 14 26 28 49 52 91 98 182 196 364 637 1,087 1,274 2,174 2,548 4,348 7,609 14,131 15,218 28,262 30,436 53,263 56,524 98,917 106,526 197,834 213,052 395,668 692,419 1,384,838 2,769,676

Collatz Trajectory (156 steps to reach 1)

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

2,769,676 1,384,838 692,419 2,077,258 1,038,629 3,115,888 1,557,944 778,972 389,486 194,743 584,230 292,115 876,346 438,173 1,314,520 657,260 328,630 164,315 492,946 246,473 739,420 369,710 184,855 554,566 277,283 831,850 415,925 1,247,776 623,888 311,944 155,972 77,986 38,993 116,980 58,490 29,245 87,736 43,868 21,934 10,967 32,902 16,451 49,354 24,677 74,032 37,016 18,508 9,254 4,627 13,882 6,941 20,824 10,412 5,206 2,603 7,810 3,905 11,716 5,858 2,929

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