61,301,432

2³ × 193 × 39703

61,301,432 factors as 2^3 × 193 × 39703. Its 16 positive divisors give a proper-divisor sum of 54,237,208, so this integer is deficient. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2^3 × 193 × 39703

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 115,538,640

Proper Divisor Sum 54,237,208

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #61301419 ← → #61301441

Radix Representation

Decimal	61301432
Binary	11101001110110001010111000 (26 bits)
Octal	0o351661270
Hexadecimal	0x3A762B8

Divisor Catalog (16)

1 2 4 8 193 386 772 1,544 39,703 79,406 158,812 317,624 7,662,679 15,325,358 30,650,716 61,301,432

Collatz Trajectory (114 steps to reach 1)

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

61,301,432 30,650,716 15,325,358 7,662,679 22,988,038 11,494,019 34,482,058 17,241,029 51,723,088 25,861,544 12,930,772 6,465,386 3,232,693 9,698,080 4,849,040 2,424,520 1,212,260 606,130 303,065 909,196 454,598 227,299 681,898 340,949 1,022,848 511,424 255,712 127,856 63,928 31,964 15,982 7,991 23,974 11,987 35,962 17,981 53,944 26,972 13,486 6,743 20,230 10,115 30,346 15,173 45,520 22,760 11,380 5,690 2,845 8,536 4,268 2,134 1,067 3,202 1,601 4,804 2,402 1,201 3,604 1,802

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