33,763,588

2² × 31 × 272287

33,763,588 factors as 2^2 × 31 × 272287. Its 12 positive divisors give a proper-divisor sum of 27,228,924, so this integer is deficient. The Collatz stopping time is 183 steps.

Prime Factor Structure

Factorization String 2^2 × 31 × 272287

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 60,992,512

Proper Divisor Sum 27,228,924

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #33763577 ← → #33763601

Radix Representation

Decimal	33763588
Binary	10000000110011000100000100 (26 bits)
Octal	0o200630404
Hexadecimal	0x2033104

Divisor Catalog (12)

1 2 4 31 62 124 272,287 544,574 1,089,148 8,440,897 16,881,794 33,763,588

Collatz Trajectory (183 steps to reach 1)

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

33,763,588 16,881,794 8,440,897 25,322,692 12,661,346 6,330,673 18,992,020 9,496,010 4,748,005 14,244,016 7,122,008 3,561,004 1,780,502 890,251 2,670,754 1,335,377 4,006,132 2,003,066 1,001,533 3,004,600 1,502,300 751,150 375,575 1,126,726 563,363 1,690,090 845,045 2,535,136 1,267,568 633,784 316,892 158,446 79,223 237,670 118,835 356,506 178,253 534,760 267,380 133,690 66,845 200,536 100,268 50,134 25,067 75,202 37,601 112,804 56,402 28,201 84,604 42,302 21,151 63,454 31,727 95,182 47,591 142,774 71,387 214,162

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