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Atlas › Integer Profiles › Node 13,102,000

13,102,000

24 × 53 × 6551
Abundant Even Composite

13,102,000 factors as 2^4 × 5^3 × 6551. Its 40 positive divisors give a proper-divisor sum of 18,583,472, so this integer is abundant. The Collatz stopping time is 148 steps.

Prime Factor Structure

Factorization String 2^4 × 5^3 × 6551
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 31,685,472
Proper Divisor Sum 18,583,472
Digit Sum / Digital Root 7 (Root: 7)
Adjacent Primes #13101983 ← → #13102003

Radix Representation

Decimal 13102000
Binary 110001111110101110110000 (24 bits)
Octal 0o61765660
Hexadecimal 0xC7EBB0

Divisor Catalog (40)

1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1,000 2,000 6,551 13,102 26,204 32,755 52,408 65,510 104,816 131,020 163,775 262,040 327,550 524,080 655,100 818,875 1,310,200 1,637,750 2,620,400 3,275,500 6,551,000 13,102,000

Collatz Trajectory (148 steps to reach 1)

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

13,102,000 6,551,000 3,275,500 1,637,750 818,875 2,456,626 1,228,313 3,684,940 1,842,470 921,235 2,763,706 1,381,853 4,145,560 2,072,780 1,036,390 518,195 1,554,586 777,293 2,331,880 1,165,940 582,970 291,485 874,456 437,228 218,614 109,307 327,922 163,961 491,884 245,942 122,971 368,914 184,457 553,372 276,686 138,343 415,030 207,515 622,546 311,273 933,820 466,910 233,455 700,366 350,183 1,050,550 525,275 1,575,826 787,913 2,363,740 1,181,870 590,935 1,772,806 886,403 2,659,210 1,329,605 3,988,816 1,994,408 997,204 498,602

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