613,616

2⁴ × 38351

613,616 factors as 2^4 × 38351. Its 10 positive divisors give a proper-divisor sum of 575,296, so this integer is deficient. The Collatz stopping time is 203 steps.

Prime Factor Structure

Factorization String 2^4 × 38351

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 1,188,912

Proper Divisor Sum 575,296

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #613609 ← → #613633

Radix Representation

Decimal	613616
Binary	10010101110011110000 (20 bits)
Octal	0o2256360
Hexadecimal	0x95CF0

Divisor Catalog (10)

1 2 4 8 16 38,351 76,702 153,404 306,808 613,616

Collatz Trajectory (203 steps to reach 1)

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

613,616 306,808 153,404 76,702 38,351 115,054 57,527 172,582 86,291 258,874 129,437 388,312 194,156 97,078 48,539 145,618 72,809 218,428 109,214 54,607 163,822 81,911 245,734 122,867 368,602 184,301 552,904 276,452 138,226 69,113 207,340 103,670 51,835 155,506 77,753 233,260 116,630 58,315 174,946 87,473 262,420 131,210 65,605 196,816 98,408 49,204 24,602 12,301 36,904 18,452 9,226 4,613 13,840 6,920 3,460 1,730 865 2,596 1,298 649

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