9,675,757

7 × 13² × 8179

For 9,675,757, the 12 positive divisors have a total of 11,975,520. Removing 9,675,757 leaves 2,299,763, which gives the deficient classification.

Prime Factor Structure

Factorization String 7 × 13^2 × 8179

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 11,975,520

Proper Divisor Sum 2,299,763

Digit Sum / Digital Root 46 (Root: 1)

Adjacent Primes #9675707 ← → #9675761

Radix Representation

Decimal	9675757
Binary	100100111010001111101101 (24 bits)
Octal	0o44721755
Hexadecimal	0x93A3ED

Divisor Catalog (12)

1 7 13 91 169 1,183 8,179 57,253 106,327 744,289 1,382,251 9,675,757

Collatz Trajectory (194 steps to reach 1)

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

9,675,757 29,027,272 14,513,636 7,256,818 3,628,409 10,885,228 5,442,614 2,721,307 8,163,922 4,081,961 12,245,884 6,122,942 3,061,471 9,184,414 4,592,207 13,776,622 6,888,311 20,664,934 10,332,467 30,997,402 15,498,701 46,496,104 23,248,052 11,624,026 5,812,013 17,436,040 8,718,020 4,359,010 2,179,505 6,538,516 3,269,258 1,634,629 4,903,888 2,451,944 1,225,972 612,986 306,493 919,480 459,740 229,870 114,935 344,806 172,403 517,210 258,605 775,816 387,908 193,954 96,977 290,932 145,466 72,733 218,200 109,100 54,550 27,275 81,826 40,913 122,740 61,370

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