626,796

2² × 3² × 23 × 757

626,796 factors as 2^2 × 3^2 × 23 × 757. Its 36 positive divisors give a proper-divisor sum of 1,028,676, so this integer is abundant. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 23 × 757

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 1,655,472

Proper Divisor Sum 1,028,676

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #626783 ← → #626797

Radix Representation

Decimal	626796
Binary	10011001000001101100 (20 bits)
Octal	0o2310154
Hexadecimal	0x9906C

Divisor Catalog (36)

1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 757 828 1,514 2,271 3,028 4,542 6,813 9,084 13,626 17,411 27,252 34,822 52,233 69,644 104,466 156,699 208,932 313,398 626,796

Collatz Trajectory (185 steps to reach 1)

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

626,796 313,398 156,699 470,098 235,049 705,148 352,574 176,287 528,862 264,431 793,294 396,647 1,189,942 594,971 1,784,914 892,457 2,677,372 1,338,686 669,343 2,008,030 1,004,015 3,012,046 1,506,023 4,518,070 2,259,035 6,777,106 3,388,553 10,165,660 5,082,830 2,541,415 7,624,246 3,812,123 11,436,370 5,718,185 17,154,556 8,577,278 4,288,639 12,865,918 6,432,959 19,298,878 9,649,439 28,948,318 14,474,159 43,422,478 21,711,239 65,133,718 32,566,859 97,700,578 48,850,289 146,550,868 73,275,434 36,637,717 109,913,152 54,956,576 27,478,288 13,739,144 6,869,572 3,434,786 1,717,393 5,152,180

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