46,613,636

2² × 37 × 314957

46,613,636 factors as 2^2 × 37 × 314957. Its 12 positive divisors give a proper-divisor sum of 37,165,192, so this integer is deficient. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 2^2 × 37 × 314957

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 83,778,828

Proper Divisor Sum 37,165,192

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #46613629 ← → #46613653

Radix Representation

Decimal	46613636
Binary	10110001110100010010000100 (26 bits)
Octal	0o261642204
Hexadecimal	0x2C74484

Divisor Catalog (12)

1 2 4 37 74 148 314,957 629,914 1,259,828 11,653,409 23,306,818 46,613,636

Collatz Trajectory (178 steps to reach 1)

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

46,613,636 23,306,818 11,653,409 34,960,228 17,480,114 8,740,057 26,220,172 13,110,086 6,555,043 19,665,130 9,832,565 29,497,696 14,748,848 7,374,424 3,687,212 1,843,606 921,803 2,765,410 1,382,705 4,148,116 2,074,058 1,037,029 3,111,088 1,555,544 777,772 388,886 194,443 583,330 291,665 874,996 437,498 218,749 656,248 328,124 164,062 82,031 246,094 123,047 369,142 184,571 553,714 276,857 830,572 415,286 207,643 622,930 311,465 934,396 467,198 233,599 700,798 350,399 1,051,198 525,599 1,576,798 788,399 2,365,198 1,182,599 3,547,798 1,773,899

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