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Atlas › Integer Profiles › Node 73,696,120

73,696,120

23 × 5 × 1051 × 1753
Abundant Even Composite

73,696,120 factors as 2^3 × 5 × 1051 × 1753. Its 32 positive divisors give a proper-divisor sum of 92,372,600, so this integer is abundant. The Collatz stopping time is 166 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 1051 × 1753
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 166,068,720
Proper Divisor Sum 92,372,600
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #73696111 ← → #73696121

Radix Representation

Decimal 73696120
Binary 100011001001000001101111000 (27 bits)
Octal 0o431101570
Hexadecimal 0x4648378

Divisor Catalog (32)

1 2 4 5 8 10 20 40 1,051 1,753 2,102 3,506 4,204 5,255 7,012 8,408 8,765 10,510 14,024 17,530 21,020 35,060 42,040 70,120 1,842,403 3,684,806 7,369,612 9,212,015 14,739,224 18,424,030 36,848,060 73,696,120

Collatz Trajectory (166 steps to reach 1)

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

73,696,120 36,848,060 18,424,030 9,212,015 27,636,046 13,818,023 41,454,070 20,727,035 62,181,106 31,090,553 93,271,660 46,635,830 23,317,915 69,953,746 34,976,873 104,930,620 52,465,310 26,232,655 78,697,966 39,348,983 118,046,950 59,023,475 177,070,426 88,535,213 265,605,640 132,802,820 66,401,410 33,200,705 99,602,116 49,801,058 24,900,529 74,701,588 37,350,794 18,675,397 56,026,192 28,013,096 14,006,548 7,003,274 3,501,637 10,504,912 5,252,456 2,626,228 1,313,114 656,557 1,969,672 984,836 492,418 246,209 738,628 369,314 184,657 553,972 276,986 138,493 415,480 207,740 103,870 51,935 155,806 77,903

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