λ
Ratio Atlas
Atlas › Integer Profiles › Node 5,032,160

5,032,160

25 × 5 × 7 × 4493
Abundant Even Composite

5,032,160 factors as 2^5 × 5 × 7 × 4493. Its 48 positive divisors give a proper-divisor sum of 8,557,696, so this integer is abundant. The Collatz stopping time is 113 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 7 × 4493
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 13,589,856
Proper Divisor Sum 8,557,696
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #5032151 ← → #5032189

Radix Representation

Decimal 5032160
Binary 10011001100100011100000 (23 bits)
Octal 0o23144340
Hexadecimal 0x4CC8E0

Divisor Catalog (48)

1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1,120 4,493 8,986 17,972 22,465 31,451 35,944 44,930 62,902 71,888 89,860 125,804 143,776 157,255 179,720 251,608 314,510 359,440 503,216 629,020 718,880 1,006,432 1,258,040 2,516,080 5,032,160

Collatz Trajectory (113 steps to reach 1)

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

5,032,160 2,516,080 1,258,040 629,020 314,510 157,255 471,766 235,883 707,650 353,825 1,061,476 530,738 265,369 796,108 398,054 199,027 597,082 298,541 895,624 447,812 223,906 111,953 335,860 167,930 83,965 251,896 125,948 62,974 31,487 94,462 47,231 141,694 70,847 212,542 106,271 318,814 159,407 478,222 239,111 717,334 358,667 1,076,002 538,001 1,614,004 807,002 403,501 1,210,504 605,252 302,626 151,313 453,940 226,970 113,485 340,456 170,228 85,114 42,557 127,672 63,836 31,918

More profiles

Browse other published profiles and their separate link collections.

Profile #8,342,168 Profile #1,146,956 Profile #9,712,347 Profile #6,573,969 Profile #965,653 Profile #4,620,983 Profile #853,259 Profile #1,288,150
← Previous Integer #5,032,159 Browse Full Index Next Integer #5,032,161 →