35,995,752

2³ × 3⁴ × 13 × 4273

35,995,752 factors as 2^3 × 3^4 × 13 × 4273. Its 80 positive divisors give a proper-divisor sum of 72,606,588, so this integer is abundant. The Collatz stopping time is 113 steps.

Prime Factor Structure

Factorization String 2^3 × 3^4 × 13 × 4273

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 108,602,340

Proper Divisor Sum 72,606,588

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #35995733 ← → #35995753

Radix Representation

Decimal	35995752
Binary	10001001010100000001101000 (26 bits)
Octal	0o211240150
Hexadecimal	0x2254068

Divisor Catalog (60 of 80)

1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 702 936 1,053 1,404 2,106 2,808 4,212 4,273 8,424 8,546 12,819 17,092 25,638 34,184 38,457 51,276 55,549 76,914 102,552 111,098 115,371 153,828 166,647 222,196 230,742 307,656 333,294 346,113

Collatz Trajectory (113 steps to reach 1)

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

35,995,752 17,997,876 8,998,938 4,499,469 13,498,408 6,749,204 3,374,602 1,687,301 5,061,904 2,530,952 1,265,476 632,738 316,369 949,108 474,554 237,277 711,832 355,916 177,958 88,979 266,938 133,469 400,408 200,204 100,102 50,051 150,154 75,077 225,232 112,616 56,308 28,154 14,077 42,232 21,116 10,558 5,279 15,838 7,919 23,758 11,879 35,638 17,819 53,458 26,729 80,188 40,094 20,047 60,142 30,071 90,214 45,107 135,322 67,661 202,984 101,492 50,746 25,373 76,120 38,060

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