78,802,000

2⁴ × 5³ × 31² × 41

78,802,000 factors as 2^4 × 5^3 × 31^2 × 41. Its 120 positive divisors give a proper-divisor sum of 122,888,216, so this integer is abundant. The Collatz stopping time is 179 steps.

Prime Factor Structure

Factorization String 2^4 × 5^3 × 31^2 × 41

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 201,690,216

Proper Divisor Sum 122,888,216

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #78801923 ← → #78802013

Radix Representation

Decimal	78802000
Binary	100101100100110110001010000 (27 bits)
Octal	0o454466120
Hexadecimal	0x4B26C50

Divisor Catalog (60 of 120)

1 2 4 5 8 10 16 20 25 31 40 41 50 62 80 82 100 124 125 155 164 200 205 248 250 310 328 400 410 496 500 620 656 775 820 961 1,000 1,025 1,240 1,271 1,550 1,640 1,922 2,000 2,050 2,480 2,542 3,100 3,280 3,844 3,875 4,100 4,805 5,084 5,125 6,200 6,355 7,688 7,750 8,200

Collatz Trajectory (179 steps to reach 1)

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

78,802,000 39,401,000 19,700,500 9,850,250 4,925,125 14,775,376 7,387,688 3,693,844 1,846,922 923,461 2,770,384 1,385,192 692,596 346,298 173,149 519,448 259,724 129,862 64,931 194,794 97,397 292,192 146,096 73,048 36,524 18,262 9,131 27,394 13,697 41,092 20,546 10,273 30,820 15,410 7,705 23,116 11,558 5,779 17,338 8,669 26,008 13,004 6,502 3,251 9,754 4,877 14,632 7,316 3,658 1,829 5,488 2,744 1,372 686 343 1,030 515 1,546 773 2,320

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