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Atlas › Integer Profiles › Node 76,929,520

76,929,520

24 × 5 × 961619
Abundant Even Composite

76,929,520 factors as 2^4 × 5 × 961619. Its 20 positive divisors give a proper-divisor sum of 101,931,800, so this integer is abundant. The Collatz stopping time is 303 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 961619
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 178,861,320
Proper Divisor Sum 101,931,800
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #76929497 ← → #76929527

Radix Representation

Decimal 76929520
Binary 100100101011101100111110000 (27 bits)
Octal 0o445354760
Hexadecimal 0x495D9F0

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 961,619 1,923,238 3,846,476 4,808,095 7,692,952 9,616,190 15,385,904 19,232,380 38,464,760 76,929,520

Collatz Trajectory (303 steps to reach 1)

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

76,929,520 38,464,760 19,232,380 9,616,190 4,808,095 14,424,286 7,212,143 21,636,430 10,818,215 32,454,646 16,227,323 48,681,970 24,340,985 73,022,956 36,511,478 18,255,739 54,767,218 27,383,609 82,150,828 41,075,414 20,537,707 61,613,122 30,806,561 92,419,684 46,209,842 23,104,921 69,314,764 34,657,382 17,328,691 51,986,074 25,993,037 77,979,112 38,989,556 19,494,778 9,747,389 29,242,168 14,621,084 7,310,542 3,655,271 10,965,814 5,482,907 16,448,722 8,224,361 24,673,084 12,336,542 6,168,271 18,504,814 9,252,407 27,757,222 13,878,611 41,635,834 20,817,917 62,453,752 31,226,876 15,613,438 7,806,719 23,420,158 11,710,079 35,130,238 17,565,119

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