13,238,828

2² × 601 × 5507

13,238,828 factors as 2^2 × 601 × 5507. Its 12 positive divisors give a proper-divisor sum of 9,971,884, so this integer is deficient. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 2^2 × 601 × 5507

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 23,210,712

Proper Divisor Sum 9,971,884

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #13238809 ← → #13238831

Radix Representation

Decimal	13238828
Binary	110010100000001000101100 (24 bits)
Octal	0o62401054
Hexadecimal	0xCA022C

Divisor Catalog (12)

1 2 4 601 1,202 2,404 5,507 11,014 22,028 3,309,707 6,619,414 13,238,828

Collatz Trajectory (91 steps to reach 1)

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

13,238,828 6,619,414 3,309,707 9,929,122 4,964,561 14,893,684 7,446,842 3,723,421 11,170,264 5,585,132 2,792,566 1,396,283 4,188,850 2,094,425 6,283,276 3,141,638 1,570,819 4,712,458 2,356,229 7,068,688 3,534,344 1,767,172 883,586 441,793 1,325,380 662,690 331,345 994,036 497,018 248,509 745,528 372,764 186,382 93,191 279,574 139,787 419,362 209,681 629,044 314,522 157,261 471,784 235,892 117,946 58,973 176,920 88,460 44,230 22,115 66,346 33,173 99,520 49,760 24,880 12,440 6,220 3,110 1,555 4,666 2,333

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