λ
Prime Ledger

9,135,724

22 × 13 × 175687
Deficient Even Composite

9,135,724 has the prime decomposition 2^2 × 13 × 175687. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 13 × 175687
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 17,217,424
Proper Divisor Sum 8,081,700
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #9135703 ← → #9135757

Radix Representation

Decimal 9135724
Binary 100010110110011001101100 (24 bits)
Octal 0o42663154
Hexadecimal 0x8B666C

Divisor Catalog (12)

1 2 4 13 26 52 175,687 351,374 702,748 2,283,931 4,567,862 9,135,724

Collatz Trajectory (119 steps to reach 1)

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

9,135,724 4,567,862 2,283,931 6,851,794 3,425,897 10,277,692 5,138,846 2,569,423 7,708,270 3,854,135 11,562,406 5,781,203 17,343,610 8,671,805 26,015,416 13,007,708 6,503,854 3,251,927 9,755,782 4,877,891 14,633,674 7,316,837 21,950,512 10,975,256 5,487,628 2,743,814 1,371,907 4,115,722 2,057,861 6,173,584 3,086,792 1,543,396 771,698 385,849 1,157,548 578,774 289,387 868,162 434,081 1,302,244 651,122 325,561 976,684 488,342 244,171 732,514 366,257 1,098,772 549,386 274,693 824,080 412,040 206,020 103,010 51,505 154,516 77,258 38,629 115,888 57,944

More profiles

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