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Atlas › Integer Profiles › Node 75,415,840

75,415,840

25 × 5 × 139 × 3391
Abundant Even Composite

75,415,840 factors as 2^5 × 5 × 139 × 3391. Its 48 positive divisors give a proper-divisor sum of 104,088,800, so this integer is abundant. The Collatz stopping time is 135 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 139 × 3391
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 179,504,640
Proper Divisor Sum 104,088,800
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #75415817 ← → #75415843

Radix Representation

Decimal 75415840
Binary 100011111101100000100100000 (27 bits)
Octal 0o437540440
Hexadecimal 0x47EC120

Divisor Catalog (48)

1 2 4 5 8 10 16 20 32 40 80 139 160 278 556 695 1,112 1,390 2,224 2,780 3,391 4,448 5,560 6,782 11,120 13,564 16,955 22,240 27,128 33,910 54,256 67,820 108,512 135,640 271,280 471,349 542,560 942,698 1,885,396 2,356,745 3,770,792 4,713,490 7,541,584 9,426,980 15,083,168 18,853,960 37,707,920 75,415,840

Collatz Trajectory (135 steps to reach 1)

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

75,415,840 37,707,920 18,853,960 9,426,980 4,713,490 2,356,745 7,070,236 3,535,118 1,767,559 5,302,678 2,651,339 7,954,018 3,977,009 11,931,028 5,965,514 2,982,757 8,948,272 4,474,136 2,237,068 1,118,534 559,267 1,677,802 838,901 2,516,704 1,258,352 629,176 314,588 157,294 78,647 235,942 117,971 353,914 176,957 530,872 265,436 132,718 66,359 199,078 99,539 298,618 149,309 447,928 223,964 111,982 55,991 167,974 83,987 251,962 125,981 377,944 188,972 94,486 47,243 141,730 70,865 212,596 106,298 53,149 159,448 79,724

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