9,681,165

3² × 5 × 13² × 19 × 67

9,681,165 factors as 3^2 × 5 × 13^2 × 19 × 67. Its 72 positive divisors give a proper-divisor sum of 9,731,475, so this integer is abundant. The Collatz stopping time is 70 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 13^2 × 19 × 67

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 19,412,640

Proper Divisor Sum 9,731,475

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9681163 ← → #9681167

Radix Representation

Decimal	9681165
Binary	100100111011100100001101 (24 bits)
Octal	0o44734415
Hexadecimal	0x93B90D

Divisor Catalog (60 of 72)

1 3 5 9 13 15 19 39 45 57 65 67 95 117 169 171 195 201 247 285 335 507 585 603 741 845 855 871 1,005 1,235 1,273 1,521 2,223 2,535 2,613 3,015 3,211 3,705 3,819 4,355 6,365 7,605 7,839 9,633 11,115 11,323 11,457 13,065 16,055 16,549 19,095 28,899 33,969 39,195 48,165 49,647 56,615 57,285 82,745 101,907

Collatz Trajectory (70 steps to reach 1)

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

9,681,165 29,043,496 14,521,748 7,260,874 3,630,437 10,891,312 5,445,656 2,722,828 1,361,414 680,707 2,042,122 1,021,061 3,063,184 1,531,592 765,796 382,898 191,449 574,348 287,174 143,587 430,762 215,381 646,144 323,072 161,536 80,768 40,384 20,192 10,096 5,048 2,524 1,262 631 1,894 947 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52

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