8,123,001

3 × 43 × 62969

8,123,001 factors as 3 × 43 × 62969. Its 8 positive divisors give a proper-divisor sum of 2,959,719, so this integer is deficient. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 3 × 43 × 62969

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 11,082,720

Proper Divisor Sum 2,959,719

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #8122969 ← → #8123053

Radix Representation

Decimal	8123001
Binary	11110111111001001111001 (23 bits)
Octal	0o36771171
Hexadecimal	0x7BF279

Divisor Catalog (8)

1 3 43 129 62,969 188,907 2,707,667 8,123,001

Collatz Trajectory (186 steps to reach 1)

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

8,123,001 24,369,004 12,184,502 6,092,251 18,276,754 9,138,377 27,415,132 13,707,566 6,853,783 20,561,350 10,280,675 30,842,026 15,421,013 46,263,040 23,131,520 11,565,760 5,782,880 2,891,440 1,445,720 722,860 361,430 180,715 542,146 271,073 813,220 406,610 203,305 609,916 304,958 152,479 457,438 228,719 686,158 343,079 1,029,238 514,619 1,543,858 771,929 2,315,788 1,157,894 578,947 1,736,842 868,421 2,605,264 1,302,632 651,316 325,658 162,829 488,488 244,244 122,122 61,061 183,184 91,592 45,796 22,898 11,449 34,348 17,174 8,587

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