5,676,990

2 × 3 × 5 × 11 × 17203

Starting at 5,676,990, the Collatz iteration reaches 1 after 139 steps. The first transition is 2838495; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 11 × 17203

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 14,864,256

Proper Divisor Sum 9,187,266

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #5676973 ← → #5677003

Radix Representation

Decimal	5676990
Binary	10101101001111110111110 (23 bits)
Octal	0o25517676
Hexadecimal	0x569FBE

Divisor Catalog (32)

1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 17,203 34,406 51,609 86,015 103,218 172,030 189,233 258,045 378,466 516,090 567,699 946,165 1,135,398 1,892,330 2,838,495 5,676,990

Collatz Trajectory (139 steps to reach 1)

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

5,676,990 2,838,495 8,515,486 4,257,743 12,773,230 6,386,615 19,159,846 9,579,923 28,739,770 14,369,885 43,109,656 21,554,828 10,777,414 5,388,707 16,166,122 8,083,061 24,249,184 12,124,592 6,062,296 3,031,148 1,515,574 757,787 2,273,362 1,136,681 3,410,044 1,705,022 852,511 2,557,534 1,278,767 3,836,302 1,918,151 5,754,454 2,877,227 8,631,682 4,315,841 12,947,524 6,473,762 3,236,881 9,710,644 4,855,322 2,427,661 7,282,984 3,641,492 1,820,746 910,373 2,731,120 1,365,560 682,780 341,390 170,695 512,086 256,043 768,130 384,065 1,152,196 576,098 288,049 864,148 432,074 216,037

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