λ
Ratio Atlas

8,107,801

13 × 623677
Deficient Odd Composite

8,107,801 factors as 13 × 623677. Its 4 positive divisors give a proper-divisor sum of 623,691, so this integer is deficient. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 13 × 623677
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,731,492
Proper Divisor Sum 623,691
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #8107789 ← → #8107817

Radix Representation

Decimal 8107801
Binary 11110111011011100011001 (23 bits)
Octal 0o36733431
Hexadecimal 0x7BB719

Divisor Catalog (4)

1 13 623,677 8,107,801

Collatz Trajectory (137 steps to reach 1)

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

8,107,801 24,323,404 12,161,702 6,080,851 18,242,554 9,121,277 27,363,832 13,681,916 6,840,958 3,420,479 10,261,438 5,130,719 15,392,158 7,696,079 23,088,238 11,544,119 34,632,358 17,316,179 51,948,538 25,974,269 77,922,808 38,961,404 19,480,702 9,740,351 29,221,054 14,610,527 43,831,582 21,915,791 65,747,374 32,873,687 98,621,062 49,310,531 147,931,594 73,965,797 221,897,392 110,948,696 55,474,348 27,737,174 13,868,587 41,605,762 20,802,881 62,408,644 31,204,322 15,602,161 46,806,484 23,403,242 11,701,621 35,104,864 17,552,432 8,776,216 4,388,108 2,194,054 1,097,027 3,291,082 1,645,541 4,936,624 2,468,312 1,234,156 617,078 308,539

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