496,140

2² × 3 × 5 × 8269

Starting at 496,140, the Collatz iteration reaches 1 after 58 steps. The first transition is 248070; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 8269

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,389,360

Proper Divisor Sum 893,220

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #496127 ← → #496163

Radix Representation

Decimal	496140
Binary	1111001001000001100 (19 bits)
Octal	0o1711014
Hexadecimal	0x7920C

Divisor Catalog (24)

1 2 3 4 5 6 10 12 15 20 30 60 8,269 16,538 24,807 33,076 41,345 49,614 82,690 99,228 124,035 165,380 248,070 496,140

Collatz Trajectory (58 steps to reach 1)

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

496,140 248,070 124,035 372,106 186,053 558,160 279,080 139,540 69,770 34,885 104,656 52,328 26,164 13,082 6,541 19,624 9,812 4,906 2,453 7,360 3,680 1,840 920 460 230 115 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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