681,248

2⁵ × 61 × 349

Starting at 681,248, the Collatz iteration reaches 1 after 61 steps. The first transition is 340624; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 61 × 349

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,367,100

Proper Divisor Sum 685,852

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #681229 ← → #681251

Radix Representation

Decimal	681248
Binary	10100110010100100000 (20 bits)
Octal	0o2462440
Hexadecimal	0xA6520

Divisor Catalog (24)

1 2 4 8 16 32 61 122 244 349 488 698 976 1,396 1,952 2,792 5,584 11,168 21,289 42,578 85,156 170,312 340,624 681,248

Collatz Trajectory (61 steps to reach 1)

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

681,248 340,624 170,312 85,156 42,578 21,289 63,868 31,934 15,967 47,902 23,951 71,854 35,927 107,782 53,891 161,674 80,837 242,512 121,256 60,628 30,314 15,157 45,472 22,736 11,368 5,684 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25 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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