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Atlas › Integer Profiles › Node 61,301,168

61,301,168

24 × 151 × 25373
Deficient Even Composite

61,301,168 factors as 2^4 × 151 × 25373. Its 20 positive divisors give a proper-divisor sum of 58,261,120, so this integer is deficient. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 2^4 × 151 × 25373
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 119,562,288
Proper Divisor Sum 58,261,120
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #61301161 ← → #61301173

Radix Representation

Decimal 61301168
Binary 11101001110110000110110000 (26 bits)
Octal 0o351660660
Hexadecimal 0x3A761B0

Divisor Catalog (20)

1 2 4 8 16 151 302 604 1,208 2,416 25,373 50,746 101,492 202,984 405,968 3,831,323 7,662,646 15,325,292 30,650,584 61,301,168

Collatz Trajectory (176 steps to reach 1)

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

61,301,168 30,650,584 15,325,292 7,662,646 3,831,323 11,493,970 5,746,985 17,240,956 8,620,478 4,310,239 12,930,718 6,465,359 19,396,078 9,698,039 29,094,118 14,547,059 43,641,178 21,820,589 65,461,768 32,730,884 16,365,442 8,182,721 24,548,164 12,274,082 6,137,041 18,411,124 9,205,562 4,602,781 13,808,344 6,904,172 3,452,086 1,726,043 5,178,130 2,589,065 7,767,196 3,883,598 1,941,799 5,825,398 2,912,699 8,738,098 4,369,049 13,107,148 6,553,574 3,276,787 9,830,362 4,915,181 14,745,544 7,372,772 3,686,386 1,843,193 5,529,580 2,764,790 1,382,395 4,147,186 2,073,593 6,220,780 3,110,390 1,555,195 4,665,586 2,332,793

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