λ
Harmonic Matrix

9,188,159

607 × 15137
Deficient Odd Composite

9,188,159 has digital root 5. The neighboring primes are 9188149 and 9188189; its proper-divisor sum differs from the starting integer by -9,172,414.

Prime Factor Structure

Factorization String 607 × 15137
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,203,904
Proper Divisor Sum 15,745
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #9188149 ← → #9188189

Radix Representation

Decimal 9188159
Binary 100011000011001100111111 (24 bits)
Octal 0o43031477
Hexadecimal 0x8C333F

Divisor Catalog (4)

1 607 15,137 9,188,159

Collatz Trajectory (287 steps to reach 1)

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

9,188,159 27,564,478 13,782,239 41,346,718 20,673,359 62,020,078 31,010,039 93,030,118 46,515,059 139,545,178 69,772,589 209,317,768 104,658,884 52,329,442 26,164,721 78,494,164 39,247,082 19,623,541 58,870,624 29,435,312 14,717,656 7,358,828 3,679,414 1,839,707 5,519,122 2,759,561 8,278,684 4,139,342 2,069,671 6,209,014 3,104,507 9,313,522 4,656,761 13,970,284 6,985,142 3,492,571 10,477,714 5,238,857 15,716,572 7,858,286 3,929,143 11,787,430 5,893,715 17,681,146 8,840,573 26,521,720 13,260,860 6,630,430 3,315,215 9,945,646 4,972,823 14,918,470 7,459,235 22,377,706 11,188,853 33,566,560 16,783,280 8,391,640 4,195,820 2,097,910

More profiles

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