456,155

5 × 7 × 13033

Starting at 456,155, the Collatz iteration reaches 1 after 156 steps. The first transition is 1368466; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 7 × 13033

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 625,632

Proper Divisor Sum 169,477

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #456151 ← → #456167

Radix Representation

Decimal	456155
Binary	1101111010111011011 (19 bits)
Octal	0o1572733
Hexadecimal	0x6F5DB

Divisor Catalog (8)

1 5 7 35 13,033 65,165 91,231 456,155

Collatz Trajectory (156 steps to reach 1)

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

456,155 1,368,466 684,233 2,052,700 1,026,350 513,175 1,539,526 769,763 2,309,290 1,154,645 3,463,936 1,731,968 865,984 432,992 216,496 108,248 54,124 27,062 13,531 40,594 20,297 60,892 30,446 15,223 45,670 22,835 68,506 34,253 102,760 51,380 25,690 12,845 38,536 19,268 9,634 4,817 14,452 7,226 3,613 10,840 5,420 2,710 1,355 4,066 2,033 6,100 3,050 1,525 4,576 2,288 1,144 572 286 143 430 215 646 323 970 485

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