36,978,564

2² × 3 × 7 × 440221

36,978,564 factors as 2^2 × 3 × 7 × 440221. Its 24 positive divisors give a proper-divisor sum of 61,631,164, so this integer is abundant. The Collatz stopping time is 258 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 440221

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 98,609,728

Proper Divisor Sum 61,631,164

Digit Sum / Digital Root 48 (Root: 3)

Adjacent Primes #36978563 ← → #36978569

Radix Representation

Decimal	36978564
Binary	10001101000011111110000100 (26 bits)
Octal	0o215037604
Hexadecimal	0x2343F84

Divisor Catalog (24)

Collatz Trajectory (258 steps to reach 1)

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

36,978,564 18,489,282 9,244,641 27,733,924 13,866,962 6,933,481 20,800,444 10,400,222 5,200,111 15,600,334 7,800,167 23,400,502 11,700,251 35,100,754 17,550,377 52,651,132 26,325,566 13,162,783 39,488,350 19,744,175 59,232,526 29,616,263 88,848,790 44,424,395 133,273,186 66,636,593 199,909,780 99,954,890 49,977,445 149,932,336 74,966,168 37,483,084 18,741,542 9,370,771 28,112,314 14,056,157 42,168,472 21,084,236 10,542,118 5,271,059 15,813,178 7,906,589 23,719,768 11,859,884 5,929,942 2,964,971 8,894,914 4,447,457 13,342,372 6,671,186 3,335,593 10,006,780 5,003,390 2,501,695 7,505,086 3,752,543 11,257,630 5,628,815 16,886,446 8,443,223

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