10,007,587

97 × 103171

10,007,587 factors as 97 × 103171. Its 4 positive divisors give a proper-divisor sum of 103,269, so this integer is deficient. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 97 × 103171

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 10,110,856

Proper Divisor Sum 103,269

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #10007563 ← → #10007593

Radix Representation

Decimal	10007587
Binary	100110001011010000100011 (24 bits)
Octal	0o46132043
Hexadecimal	0x98B423

Divisor Catalog (4)

1 97 103,171 10,007,587

Collatz Trajectory (114 steps to reach 1)

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

10,007,587 30,022,762 15,011,381 45,034,144 22,517,072 11,258,536 5,629,268 2,814,634 1,407,317 4,221,952 2,110,976 1,055,488 527,744 263,872 131,936 65,968 32,984 16,492 8,246 4,123 12,370 6,185 18,556 9,278 4,639 13,918 6,959 20,878 10,439 31,318 15,659 46,978 23,489 70,468 35,234 17,617 52,852 26,426 13,213 39,640 19,820 9,910 4,955 14,866 7,433 22,300 11,150 5,575 16,726 8,363 25,090 12,545 37,636 18,818 9,409 28,228 14,114 7,057 21,172 10,586

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