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Atlas › Integer Profiles › Node 10,061,360

10,061,360

24 × 5 × 31 × 4057
Abundant Even Composite

10,061,360 factors as 2^4 × 5 × 31 × 4057. Its 40 positive divisors give a proper-divisor sum of 14,091,856, so this integer is abundant. The Collatz stopping time is 83 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 31 × 4057
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 24,153,216
Proper Divisor Sum 14,091,856
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #10061357 ← → #10061369

Radix Representation

Decimal 10061360
Binary 100110011000011000110000 (24 bits)
Octal 0o46303060
Hexadecimal 0x998630

Divisor Catalog (40)

1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1,240 2,480 4,057 8,114 16,228 20,285 32,456 40,570 64,912 81,140 125,767 162,280 251,534 324,560 503,068 628,835 1,006,136 1,257,670 2,012,272 2,515,340 5,030,680 10,061,360

Collatz Trajectory (83 steps to reach 1)

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

10,061,360 5,030,680 2,515,340 1,257,670 628,835 1,886,506 943,253 2,829,760 1,414,880 707,440 353,720 176,860 88,430 44,215 132,646 66,323 198,970 99,485 298,456 149,228 74,614 37,307 111,922 55,961 167,884 83,942 41,971 125,914 62,957 188,872 94,436 47,218 23,609 70,828 35,414 17,707 53,122 26,561 79,684 39,842 19,921 59,764 29,882 14,941 44,824 22,412 11,206 5,603 16,810 8,405 25,216 12,608 6,304 3,152 1,576 788 394 197 592 296

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