479,902

2 × 19 × 73 × 173

Starting at 479,902, the Collatz iteration reaches 1 after 68 steps. The first transition is 239951; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 19 × 73 × 173

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 772,560

Proper Divisor Sum 292,658

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #479891 ← → #479903

Radix Representation

Decimal	479902
Binary	1110101001010011110 (19 bits)
Octal	0o1651236
Hexadecimal	0x7529E

Divisor Catalog (16)

1 2 19 38 73 146 173 346 1,387 2,774 3,287 6,574 12,629 25,258 239,951 479,902

Collatz Trajectory (68 steps to reach 1)

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

479,902 239,951 719,854 359,927 1,079,782 539,891 1,619,674 809,837 2,429,512 1,214,756 607,378 303,689 911,068 455,534 227,767 683,302 341,651 1,024,954 512,477 1,537,432 768,716 384,358 192,179 576,538 288,269 864,808 432,404 216,202 108,101 324,304 162,152 81,076 40,538 20,269 60,808 30,404 15,202 7,601 22,804 11,402 5,701 17,104 8,552 4,276 2,138 1,069 3,208 1,604 802 401 1,204 602 301 904 452 226 113 340 170 85

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