88,433,774

2 × 11 × 13 × 37 × 61 × 137

88,433,774 factors as 2 × 11 × 13 × 37 × 61 × 137. Its 64 positive divisors give a proper-divisor sum of 75,430,738, so this integer is deficient. The Collatz stopping time is 174 steps.

Prime Factor Structure

Factorization String 2 × 11 × 13 × 37 × 61 × 137

Distinct Prime Factors 6

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 163,864,512

Proper Divisor Sum 75,430,738

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #88433773 ← → #88433797

Radix Representation

Decimal	88433774
Binary	101010001010110010001101110 (27 bits)
Octal	0o521262156
Hexadecimal	0x545646E

Divisor Catalog (60 of 64)

1 2 11 13 22 26 37 61 74 122 137 143 274 286 407 481 671 793 814 962 1,342 1,507 1,586 1,781 2,257 3,014 3,562 4,514 5,069 5,291 8,357 8,723 10,138 10,582 16,714 17,446 19,591 24,827 29,341 39,182 49,654 55,759 58,682 65,897 91,927 108,641 111,518 131,794 183,854 217,282 309,209 322,751 618,418 645,502 724,867 1,195,051 1,449,734 2,390,102 3,401,299 4,019,717

Collatz Trajectory (174 steps to reach 1)

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

88,433,774 44,216,887 132,650,662 66,325,331 198,975,994 99,487,997 298,463,992 149,231,996 74,615,998 37,307,999 111,923,998 55,961,999 167,885,998 83,942,999 251,828,998 125,914,499 377,743,498 188,871,749 566,615,248 283,307,624 141,653,812 70,826,906 35,413,453 106,240,360 53,120,180 26,560,090 13,280,045 39,840,136 19,920,068 9,960,034 4,980,017 14,940,052 7,470,026 3,735,013 11,205,040 5,602,520 2,801,260 1,400,630 700,315 2,100,946 1,050,473 3,151,420 1,575,710 787,855 2,363,566 1,181,783 3,545,350 1,772,675 5,318,026 2,659,013 7,977,040 3,988,520 1,994,260 997,130 498,565 1,495,696 747,848 373,924 186,962 93,481

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