10,375,084

2² × 67 × 38713

10,375,084 factors as 2^2 × 67 × 38713. Its 12 positive divisors give a proper-divisor sum of 8,052,780, so this integer is deficient. The Collatz stopping time is 189 steps.

Prime Factor Structure

Factorization String 2^2 × 67 × 38713

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 18,427,864

Proper Divisor Sum 8,052,780

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #10375067 ← → #10375097

Radix Representation

Decimal	10375084
Binary	100111100100111110101100 (24 bits)
Octal	0o47447654
Hexadecimal	0x9E4FAC

Divisor Catalog (12)

1 2 4 67 134 268 38,713 77,426 154,852 2,593,771 5,187,542 10,375,084

Collatz Trajectory (189 steps to reach 1)

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

10,375,084 5,187,542 2,593,771 7,781,314 3,890,657 11,671,972 5,835,986 2,917,993 8,753,980 4,376,990 2,188,495 6,565,486 3,282,743 9,848,230 4,924,115 14,772,346 7,386,173 22,158,520 11,079,260 5,539,630 2,769,815 8,309,446 4,154,723 12,464,170 6,232,085 18,696,256 9,348,128 4,674,064 2,337,032 1,168,516 584,258 292,129 876,388 438,194 219,097 657,292 328,646 164,323 492,970 246,485 739,456 369,728 184,864 92,432 46,216 23,108 11,554 5,777 17,332 8,666 4,333 13,000 6,500 3,250 1,625 4,876 2,438 1,219 3,658 1,829

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