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Atlas › Integer Profiles › Node 10,072,830

10,072,830

2 × 3 × 5 × 31 × 10831
Abundant Even Composite

10,072,830 factors as 2 × 3 × 5 × 31 × 10831. Its 32 positive divisors give a proper-divisor sum of 14,884,098, so this integer is abundant. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 31 × 10831
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 24,956,928
Proper Divisor Sum 14,884,098
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #10072817 ← → #10072837

Radix Representation

Decimal 10072830
Binary 100110011011001011111110 (24 bits)
Octal 0o46331376
Hexadecimal 0x99B2FE

Divisor Catalog (32)

1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 930 10,831 21,662 32,493 54,155 64,986 108,310 162,465 324,930 335,761 671,522 1,007,283 1,678,805 2,014,566 3,357,610 5,036,415 10,072,830

Collatz Trajectory (114 steps to reach 1)

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

10,072,830 5,036,415 15,109,246 7,554,623 22,663,870 11,331,935 33,995,806 16,997,903 50,993,710 25,496,855 76,490,566 38,245,283 114,735,850 57,367,925 172,103,776 86,051,888 43,025,944 21,512,972 10,756,486 5,378,243 16,134,730 8,067,365 24,202,096 12,101,048 6,050,524 3,025,262 1,512,631 4,537,894 2,268,947 6,806,842 3,403,421 10,210,264 5,105,132 2,552,566 1,276,283 3,828,850 1,914,425 5,743,276 2,871,638 1,435,819 4,307,458 2,153,729 6,461,188 3,230,594 1,615,297 4,845,892 2,422,946 1,211,473 3,634,420 1,817,210 908,605 2,725,816 1,362,908 681,454 340,727 1,022,182 511,091 1,533,274 766,637 2,299,912

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