λ
Harmonic Matrix

9,181,751

17 × 271 × 1993
Deficient Odd Composite

9,181,751 has digital root 5. The neighboring primes are 9181727 and 9181763; its proper-divisor sum differs from the starting integer by -8,600,878.

Prime Factor Structure

Factorization String 17 × 271 × 1993
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,762,624
Proper Divisor Sum 580,873
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #9181727 ← → #9181763

Radix Representation

Decimal 9181751
Binary 100011000001101000110111 (24 bits)
Octal 0o43015067
Hexadecimal 0x8C1A37

Divisor Catalog (8)

1 17 271 1,993 4,607 33,881 540,103 9,181,751

Collatz Trajectory (238 steps to reach 1)

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

9,181,751 27,545,254 13,772,627 41,317,882 20,658,941 61,976,824 30,988,412 15,494,206 7,747,103 23,241,310 11,620,655 34,861,966 17,430,983 52,292,950 26,146,475 78,439,426 39,219,713 117,659,140 58,829,570 29,414,785 88,244,356 44,122,178 22,061,089 66,183,268 33,091,634 16,545,817 49,637,452 24,818,726 12,409,363 37,228,090 18,614,045 55,842,136 27,921,068 13,960,534 6,980,267 20,940,802 10,470,401 31,411,204 15,705,602 7,852,801 23,558,404 11,779,202 5,889,601 17,668,804 8,834,402 4,417,201 13,251,604 6,625,802 3,312,901 9,938,704 4,969,352 2,484,676 1,242,338 621,169 1,863,508 931,754 465,877 1,397,632 698,816 349,408

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