5,644,748

2² × 17² × 19 × 257

Starting at 5,644,748, the Collatz iteration reaches 1 after 201 steps. The first transition is 2822374; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 17^2 × 19 × 257

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 11,088,840

Proper Divisor Sum 5,444,092

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #5644741 ← → #5644777

Radix Representation

Decimal	5644748
Binary	10101100010000111001100 (23 bits)
Octal	0o25420714
Hexadecimal	0x5621CC

Divisor Catalog (36)

1 2 4 17 19 34 38 68 76 257 289 323 514 578 646 1,028 1,156 1,292 4,369 4,883 5,491 8,738 9,766 10,982 17,476 19,532 21,964 74,273 83,011 148,546 166,022 297,092 332,044 1,411,187 2,822,374 5,644,748

Collatz Trajectory (201 steps to reach 1)

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

5,644,748 2,822,374 1,411,187 4,233,562 2,116,781 6,350,344 3,175,172 1,587,586 793,793 2,381,380 1,190,690 595,345 1,786,036 893,018 446,509 1,339,528 669,764 334,882 167,441 502,324 251,162 125,581 376,744 188,372 94,186 47,093 141,280 70,640 35,320 17,660 8,830 4,415 13,246 6,623 19,870 9,935 29,806 14,903 44,710 22,355 67,066 33,533 100,600 50,300 25,150 12,575 37,726 18,863 56,590 28,295 84,886 42,443 127,330 63,665 190,996 95,498 47,749 143,248 71,624 35,812

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