62,132,000

2⁵ × 5³ × 7² × 317

62,132,000 factors as 2^5 × 5^3 × 7^2 × 317. Its 144 positive divisors give a proper-divisor sum of 116,010,328, so this integer is abundant. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 2^5 × 5^3 × 7^2 × 317

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 178,142,328

Proper Divisor Sum 116,010,328

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #62131997 ← → #62132003

Radix Representation

Decimal	62132000
Binary	11101101000000111100100000 (26 bits)
Octal	0o355007440
Hexadecimal	0x3B40F20

Divisor Catalog (60 of 144)

1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 70 80 98 100 112 125 140 160 175 196 200 224 245 250 280 317 350 392 400 490 500 560 634 700 784 800 875 980 1,000 1,120 1,225 1,268 1,400 1,568 1,585 1,750 1,960 2,000 2,219 2,450 2,536 2,800

Collatz Trajectory (207 steps to reach 1)

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

62,132,000 31,066,000 15,533,000 7,766,500 3,883,250 1,941,625 5,824,876 2,912,438 1,456,219 4,368,658 2,184,329 6,552,988 3,276,494 1,638,247 4,914,742 2,457,371 7,372,114 3,686,057 11,058,172 5,529,086 2,764,543 8,293,630 4,146,815 12,440,446 6,220,223 18,660,670 9,330,335 27,991,006 13,995,503 41,986,510 20,993,255 62,979,766 31,489,883 94,469,650 47,234,825 141,704,476 70,852,238 35,426,119 106,278,358 53,139,179 159,417,538 79,708,769 239,126,308 119,563,154 59,781,577 179,344,732 89,672,366 44,836,183 134,508,550 67,254,275 201,762,826 100,881,413 302,644,240 151,322,120 75,661,060 37,830,530 18,915,265 56,745,796 28,372,898 14,186,449

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