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Atlas › Integer Profiles › Node 7,149,980

7,149,980

22 × 5 × 131 × 2729
Abundant Even Composite

7,149,980 factors as 2^2 × 5 × 131 × 2729. Its 24 positive divisors give a proper-divisor sum of 7,985,140, so this integer is abundant. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 131 × 2729
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 15,135,120
Proper Divisor Sum 7,985,140
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #7149971 ← → #7149983

Radix Representation

Decimal 7149980
Binary 11011010001100110011100 (23 bits)
Octal 0o33214634
Hexadecimal 0x6D199C

Divisor Catalog (24)

1 2 4 5 10 20 131 262 524 655 1,310 2,620 2,729 5,458 10,916 13,645 27,290 54,580 357,499 714,998 1,429,996 1,787,495 3,574,990 7,149,980

Collatz Trajectory (173 steps to reach 1)

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

7,149,980 3,574,990 1,787,495 5,362,486 2,681,243 8,043,730 4,021,865 12,065,596 6,032,798 3,016,399 9,049,198 4,524,599 13,573,798 6,786,899 20,360,698 10,180,349 30,541,048 15,270,524 7,635,262 3,817,631 11,452,894 5,726,447 17,179,342 8,589,671 25,769,014 12,884,507 38,653,522 19,326,761 57,980,284 28,990,142 14,495,071 43,485,214 21,742,607 65,227,822 32,613,911 97,841,734 48,920,867 146,762,602 73,381,301 220,143,904 110,071,952 55,035,976 27,517,988 13,758,994 6,879,497 20,638,492 10,319,246 5,159,623 15,478,870 7,739,435 23,218,306 11,609,153 34,827,460 17,413,730 8,706,865 26,120,596 13,060,298 6,530,149 19,590,448 9,795,224

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