λ
Ratio Atlas

63,257,577

3 × 31 × 680189
Deficient Odd Composite

63,257,577 factors as 3 × 31 × 680189. Its 8 positive divisors give a proper-divisor sum of 23,806,743, so this integer is deficient. The Collatz stopping time is 251 steps.

Prime Factor Structure

Factorization String 3 × 31 × 680189
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 87,064,320
Proper Divisor Sum 23,806,743
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #63257573 ← → #63257587

Radix Representation

Decimal 63257577
Binary 11110001010011101111101001 (26 bits)
Octal 0o361235751
Hexadecimal 0x3C53BE9

Divisor Catalog (8)

Collatz Trajectory (251 steps to reach 1)

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

63,257,577 189,772,732 94,886,366 47,443,183 142,329,550 71,164,775 213,494,326 106,747,163 320,241,490 160,120,745 480,362,236 240,181,118 120,090,559 360,271,678 180,135,839 540,407,518 270,203,759 810,611,278 405,305,639 1,215,916,918 607,958,459 1,823,875,378 911,937,689 2,735,813,068 1,367,906,534 683,953,267 2,051,859,802 1,025,929,901 3,077,789,704 1,538,894,852 769,447,426 384,723,713 1,154,171,140 577,085,570 288,542,785 865,628,356 432,814,178 216,407,089 649,221,268 324,610,634 162,305,317 486,915,952 243,457,976 121,728,988 60,864,494 30,432,247 91,296,742 45,648,371 136,945,114 68,472,557 205,417,672 102,708,836 51,354,418 25,677,209 77,031,628 38,515,814 19,257,907 57,773,722 28,886,861 86,660,584

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