31,598,099

13² × 59 × 3169

31,598,099 factors as 13^2 × 59 × 3169. Its 12 positive divisors give a proper-divisor sum of 3,208,501, so this integer is deficient. The Collatz stopping time is 126 steps.

Prime Factor Structure

Factorization String 13^2 × 59 × 3169

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 34,806,600

Proper Divisor Sum 3,208,501

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #31598057 ← → #31598101

Radix Representation

Decimal	31598099
Binary	1111000100010011000010011 (25 bits)
Octal	0o170423023
Hexadecimal	0x1E22613

Divisor Catalog (12)

1 13 59 169 767 3,169 9,971 41,197 186,971 535,561 2,430,623 31,598,099

Collatz Trajectory (126 steps to reach 1)

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

31,598,099 94,794,298 47,397,149 142,191,448 71,095,724 35,547,862 17,773,931 53,321,794 26,660,897 79,982,692 39,991,346 19,995,673 59,987,020 29,993,510 14,996,755 44,990,266 22,495,133 67,485,400 33,742,700 16,871,350 8,435,675 25,307,026 12,653,513 37,960,540 18,980,270 9,490,135 28,470,406 14,235,203 42,705,610 21,352,805 64,058,416 32,029,208 16,014,604 8,007,302 4,003,651 12,010,954 6,005,477 18,016,432 9,008,216 4,504,108 2,252,054 1,126,027 3,378,082 1,689,041 5,067,124 2,533,562 1,266,781 3,800,344 1,900,172 950,086 475,043 1,425,130 712,565 2,137,696 1,068,848 534,424 267,212 133,606 66,803 200,410

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