10,002,377

7 × 11 × 129901

10,002,377 factors as 7 × 11 × 129901. Its 8 positive divisors give a proper-divisor sum of 2,468,215, so this integer is deficient. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 7 × 11 × 129901

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 12,470,592

Proper Divisor Sum 2,468,215

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #10002347 ← → #10002397

Radix Representation

Decimal	10002377
Binary	100110001001111111001001 (24 bits)
Octal	0o46117711
Hexadecimal	0x989FC9

Divisor Catalog (8)

1 7 11 77 129,901 909,307 1,428,911 10,002,377

Collatz Trajectory (137 steps to reach 1)

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

10,002,377 30,007,132 15,003,566 7,501,783 22,505,350 11,252,675 33,758,026 16,879,013 50,637,040 25,318,520 12,659,260 6,329,630 3,164,815 9,494,446 4,747,223 14,241,670 7,120,835 21,362,506 10,681,253 32,043,760 16,021,880 8,010,940 4,005,470 2,002,735 6,008,206 3,004,103 9,012,310 4,506,155 13,518,466 6,759,233 20,277,700 10,138,850 5,069,425 15,208,276 7,604,138 3,802,069 11,406,208 5,703,104 2,851,552 1,425,776 712,888 356,444 178,222 89,111 267,334 133,667 401,002 200,501 601,504 300,752 150,376 75,188 37,594 18,797 56,392 28,196 14,098 7,049 21,148 10,574

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