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Atlas › Integer Profiles › Node 60,402,000

60,402,000

24 × 3 × 53 × 10067
Abundant Even Composite

60,402,000 factors as 2^4 × 3 × 5^3 × 10067. Its 80 positive divisors give a proper-divisor sum of 134,353,392, so this integer is abundant. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 5^3 × 10067
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 194,755,392
Proper Divisor Sum 134,353,392
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #60401989 ← → #60402029

Radix Representation

Decimal 60402000
Binary 11100110011010100101010000 (26 bits)
Octal 0o346324520
Hexadecimal 0x399A950

Divisor Catalog (60 of 80)

1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1,000 1,200 1,500 2,000 3,000 6,000 10,067 20,134 30,201 40,268 50,335 60,402 80,536 100,670 120,804 151,005 161,072 201,340 241,608 251,675 302,010 402,680 483,216 503,350 604,020 755,025

Collatz Trajectory (176 steps to reach 1)

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

60,402,000 30,201,000 15,100,500 7,550,250 3,775,125 11,325,376 5,662,688 2,831,344 1,415,672 707,836 353,918 176,959 530,878 265,439 796,318 398,159 1,194,478 597,239 1,791,718 895,859 2,687,578 1,343,789 4,031,368 2,015,684 1,007,842 503,921 1,511,764 755,882 377,941 1,133,824 566,912 283,456 141,728 70,864 35,432 17,716 8,858 4,429 13,288 6,644 3,322 1,661 4,984 2,492 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777

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