9,508,080

2⁴ × 3 × 5 × 173 × 229

9,508,080 factors as 2^4 × 3 × 5 × 173 × 229. Its 80 positive divisors give a proper-divisor sum of 20,266,800, so this integer is abundant. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 173 × 229

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 29,774,880

Proper Divisor Sum 20,266,800

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #9508073 ← → #9508087

Radix Representation

Decimal	9508080
Binary	100100010001010011110000 (24 bits)
Octal	0o44212360
Hexadecimal	0x9114F0

Divisor Catalog (60 of 80)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 173 229 240 346 458 519 687 692 865 916 1,038 1,145 1,374 1,384 1,730 1,832 2,076 2,290 2,595 2,748 2,768 3,435 3,460 3,664 4,152 4,580 5,190 5,496 6,870 6,920 8,304 9,160 10,380 10,992 13,740 13,840 18,320 20,760 27,480 39,617 41,520

Collatz Trajectory (176 steps to reach 1)

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

9,508,080 4,754,040 2,377,020 1,188,510 594,255 1,782,766 891,383 2,674,150 1,337,075 4,011,226 2,005,613 6,016,840 3,008,420 1,504,210 752,105 2,256,316 1,128,158 564,079 1,692,238 846,119 2,538,358 1,269,179 3,807,538 1,903,769 5,711,308 2,855,654 1,427,827 4,283,482 2,141,741 6,425,224 3,212,612 1,606,306 803,153 2,409,460 1,204,730 602,365 1,807,096 903,548 451,774 225,887 677,662 338,831 1,016,494 508,247 1,524,742 762,371 2,287,114 1,143,557 3,430,672 1,715,336 857,668 428,834 214,417 643,252 321,626 160,813 482,440 241,220 120,610 60,305

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