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13,123,701

35 × 53 × 1019
Deficient Odd Composite

13,123,701 factors as 3^5 × 53 × 1019. Its 24 positive divisors give a proper-divisor sum of 6,925,419, so this integer is deficient. The Collatz stopping time is 179 steps.

Prime Factor Structure

Factorization String 3^5 × 53 × 1019
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 20,049,120
Proper Divisor Sum 6,925,419
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #13123697 ← → #13123727

Radix Representation

Decimal 13123701
Binary 110010000100000001110101 (24 bits)
Octal 0o62040165
Hexadecimal 0xC84075

Divisor Catalog (24)

1 3 9 27 53 81 159 243 477 1,019 1,431 3,057 4,293 9,171 12,879 27,513 54,007 82,539 162,021 247,617 486,063 1,458,189 4,374,567 13,123,701

Collatz Trajectory (179 steps to reach 1)

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

13,123,701 39,371,104 19,685,552 9,842,776 4,921,388 2,460,694 1,230,347 3,691,042 1,845,521 5,536,564 2,768,282 1,384,141 4,152,424 2,076,212 1,038,106 519,053 1,557,160 778,580 389,290 194,645 583,936 291,968 145,984 72,992 36,496 18,248 9,124 4,562 2,281 6,844 3,422 1,711 5,134 2,567 7,702 3,851 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 5,488 2,744 1,372 686 343 1,030 515 1,546 773 2,320

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