682,472

2³ × 7² × 1741

Starting at 682,472, the Collatz iteration reaches 1 after 61 steps. The first transition is 341236; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 7^2 × 1741

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,489,410

Proper Divisor Sum 806,938

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #682471 ← → #682483

Radix Representation

Decimal	682472
Binary	10100110100111101000 (20 bits)
Octal	0o2464750
Hexadecimal	0xA69E8

Divisor Catalog (24)

1 2 4 7 8 14 28 49 56 98 196 392 1,741 3,482 6,964 12,187 13,928 24,374 48,748 85,309 97,496 170,618 341,236 682,472

Collatz Trajectory (61 steps to reach 1)

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

682,472 341,236 170,618 85,309 255,928 127,964 63,982 31,991 95,974 47,987 143,962 71,981 215,944 107,972 53,986 26,993 80,980 40,490 20,245 60,736 30,368 15,184 7,592 3,796 1,898 949 2,848 1,424 712 356 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4

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