5,321,792

2⁶ × 7² × 1697

Starting at 5,321,792, the Collatz iteration reaches 1 after 95 steps. The first transition is 2660896; the starting value is even with 42 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 7^2 × 1697

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 42

Divisor Sum (σ) 12,291,822

Proper Divisor Sum 6,970,030

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #5321779 ← → #5321803

Radix Representation

Decimal	5321792
Binary	10100010011010001000000 (23 bits)
Octal	0o24232100
Hexadecimal	0x513440

Divisor Catalog (42)

1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1,568 1,697 3,136 3,394 6,788 11,879 13,576 23,758 27,152 47,516 54,304 83,153 95,032 108,608 166,306 190,064 332,612 380,128 665,224 760,256 1,330,448 2,660,896 5,321,792

Collatz Trajectory (95 steps to reach 1)

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

5,321,792 2,660,896 1,330,448 665,224 332,612 166,306 83,153 249,460 124,730 62,365 187,096 93,548 46,774 23,387 70,162 35,081 105,244 52,622 26,311 78,934 39,467 118,402 59,201 177,604 88,802 44,401 133,204 66,602 33,301 99,904 49,952 24,976 12,488 6,244 3,122 1,561 4,684 2,342 1,171 3,514 1,757 5,272 2,636 1,318 659 1,978 989 2,968 1,484 742 371 1,114 557 1,672 836 418 209 628 314 157

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