6,725,336

2³ × 17 × 49451

6,725,336 factors as 2^3 × 17 × 49451. Its 16 positive divisors give a proper-divisor sum of 6,626,704, so this integer is deficient. The Collatz stopping time is 134 steps.

Prime Factor Structure

Factorization String 2^3 × 17 × 49451

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,352,040

Proper Divisor Sum 6,626,704

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #6725317 ← → #6725339

Radix Representation

Decimal	6725336
Binary	11001101001111011011000 (23 bits)
Octal	0o31517330
Hexadecimal	0x669ED8

Divisor Catalog (16)

1 2 4 8 17 34 68 136 49,451 98,902 197,804 395,608 840,667 1,681,334 3,362,668 6,725,336

Collatz Trajectory (134 steps to reach 1)

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

6,725,336 3,362,668 1,681,334 840,667 2,522,002 1,261,001 3,783,004 1,891,502 945,751 2,837,254 1,418,627 4,255,882 2,127,941 6,383,824 3,191,912 1,595,956 797,978 398,989 1,196,968 598,484 299,242 149,621 448,864 224,432 112,216 56,108 28,054 14,027 42,082 21,041 63,124 31,562 15,781 47,344 23,672 11,836 5,918 2,959 8,878 4,439 13,318 6,659 19,978 9,989 29,968 14,984 7,492 3,746 1,873 5,620 2,810 1,405 4,216 2,108 1,054 527 1,582 791 2,374 1,187

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