15,624,476

2² × 7 × 558017

15,624,476 factors as 2^2 × 7 × 558017. Its 12 positive divisors give a proper-divisor sum of 15,624,532, so this integer is abundant. The Collatz stopping time is 187 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 558017

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 31,249,008

Proper Divisor Sum 15,624,532

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #15624391 ← → #15624487

Radix Representation

Decimal	15624476
Binary	111011100110100100011100 (24 bits)
Octal	0o73464434
Hexadecimal	0xEE691C

Divisor Catalog (12)

1 2 4 7 14 28 558,017 1,116,034 2,232,068 3,906,119 7,812,238 15,624,476

Collatz Trajectory (187 steps to reach 1)

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

15,624,476 7,812,238 3,906,119 11,718,358 5,859,179 17,577,538 8,788,769 26,366,308 13,183,154 6,591,577 19,774,732 9,887,366 4,943,683 14,831,050 7,415,525 22,246,576 11,123,288 5,561,644 2,780,822 1,390,411 4,171,234 2,085,617 6,256,852 3,128,426 1,564,213 4,692,640 2,346,320 1,173,160 586,580 293,290 146,645 439,936 219,968 109,984 54,992 27,496 13,748 6,874 3,437 10,312 5,156 2,578 1,289 3,868 1,934 967 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225 3,676 1,838 919 2,758

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