80,955,360

2⁵ × 3² × 5 × 17 × 3307

80,955,360 factors as 2^5 × 3^2 × 5 × 17 × 3307. Its 144 positive divisors give a proper-divisor sum of 211,643,856, so this integer is abundant. The Collatz stopping time is 135 steps.

Prime Factor Structure

Factorization String 2^5 × 3^2 × 5 × 17 × 3307

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 292,599,216

Proper Divisor Sum 211,643,856

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #80955359 ← → #80955367

Radix Representation

Decimal	80955360
Binary	100110100110100011111100000 (27 bits)
Octal	0o464643740
Hexadecimal	0x4D347E0

Divisor Catalog (60 of 144)

1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 32 34 36 40 45 48 51 60 68 72 80 85 90 96 102 120 136 144 153 160 170 180 204 240 255 272 288 306 340 360 408 480 510 544 612 680 720 765 816 1,020 1,224 1,360 1,440

Collatz Trajectory (135 steps to reach 1)

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

80,955,360 40,477,680 20,238,840 10,119,420 5,059,710 2,529,855 7,589,566 3,794,783 11,384,350 5,692,175 17,076,526 8,538,263 25,614,790 12,807,395 38,422,186 19,211,093 57,633,280 28,816,640 14,408,320 7,204,160 3,602,080 1,801,040 900,520 450,260 225,130 112,565 337,696 168,848 84,424 42,212 21,106 10,553 31,660 15,830 7,915 23,746 11,873 35,620 17,810 8,905 26,716 13,358 6,679 20,038 10,019 30,058 15,029 45,088 22,544 11,272 5,636 2,818 1,409 4,228 2,114 1,057 3,172 1,586 793 2,380

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