5,369,756

2² × 7 × 17 × 29 × 389

Starting at 5,369,756, the Collatz iteration reaches 1 after 100 steps. The first transition is 2684878; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 17 × 29 × 389

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 11,793,600

Proper Divisor Sum 6,423,844

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #5369753 ← → #5369759

Radix Representation

Decimal	5369756
Binary	10100011110111110011100 (23 bits)
Octal	0o24367634
Hexadecimal	0x51EF9C

Divisor Catalog (48)

1 2 4 7 14 17 28 29 34 58 68 116 119 203 238 389 406 476 493 778 812 986 1,556 1,972 2,723 3,451 5,446 6,613 6,902 10,892 11,281 13,226 13,804 22,562 26,452 45,124 46,291 78,967 92,582 157,934 185,164 191,777 315,868 383,554 767,108 1,342,439 2,684,878 5,369,756

Collatz Trajectory (100 steps to reach 1)

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

5,369,756 2,684,878 1,342,439 4,027,318 2,013,659 6,040,978 3,020,489 9,061,468 4,530,734 2,265,367 6,796,102 3,398,051 10,194,154 5,097,077 15,291,232 7,645,616 3,822,808 1,911,404 955,702 477,851 1,433,554 716,777 2,150,332 1,075,166 537,583 1,612,750 806,375 2,419,126 1,209,563 3,628,690 1,814,345 5,443,036 2,721,518 1,360,759 4,082,278 2,041,139 6,123,418 3,061,709 9,185,128 4,592,564 2,296,282 1,148,141 3,444,424 1,722,212 861,106 430,553 1,291,660 645,830 322,915 968,746 484,373 1,453,120 726,560 363,280 181,640 90,820 45,410 22,705 68,116 34,058

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