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Atlas › Integer Profiles › Node 74,507,200

74,507,200

26 × 52 × 46567
Abundant Even Composite

74,507,200 factors as 2^6 × 5^2 × 46567. Its 42 positive divisors give a proper-divisor sum of 108,831,016, so this integer is abundant. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 2^6 × 5^2 × 46567
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 42
Divisor Sum (σ) 183,338,216
Proper Divisor Sum 108,831,016
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #74507179 ← → #74507201

Radix Representation

Decimal 74507200
Binary 100011100001110001111000000 (27 bits)
Octal 0o434161700
Hexadecimal 0x470E3C0

Divisor Catalog (42)

1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1,600 46,567 93,134 186,268 232,835 372,536 465,670 745,072 931,340 1,164,175 1,490,144 1,862,680 2,328,350 2,980,288 3,725,360 4,656,700 7,450,720 9,313,400 14,901,440 18,626,800 37,253,600 74,507,200

Collatz Trajectory (91 steps to reach 1)

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

74,507,200 37,253,600 18,626,800 9,313,400 4,656,700 2,328,350 1,164,175 3,492,526 1,746,263 5,238,790 2,619,395 7,858,186 3,929,093 11,787,280 5,893,640 2,946,820 1,473,410 736,705 2,210,116 1,105,058 552,529 1,657,588 828,794 414,397 1,243,192 621,596 310,798 155,399 466,198 233,099 699,298 349,649 1,048,948 524,474 262,237 786,712 393,356 196,678 98,339 295,018 147,509 442,528 221,264 110,632 55,316 27,658 13,829 41,488 20,744 10,372 5,186 2,593 7,780 3,890 1,945 5,836 2,918 1,459 4,378 2,189

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