λ
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Atlas › Integer Profiles › Node 36,977,430

36,977,430

2 × 3 × 5 × 7 × 37 × 4759
Abundant Even Composite

36,977,430 factors as 2 × 3 × 5 × 7 × 37 × 4759. Its 64 positive divisors give a proper-divisor sum of 67,209,450, so this integer is abundant. The Collatz stopping time is 134 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 7 × 37 × 4759
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 104,186,880
Proper Divisor Sum 67,209,450
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #36977419 ← → #36977441

Radix Representation

Decimal 36977430
Binary 10001101000011101100010110 (26 bits)
Octal 0o215035426
Hexadecimal 0x2343B16

Divisor Catalog (60 of 64)

1 2 3 5 6 7 10 14 15 21 30 35 37 42 70 74 105 111 185 210 222 259 370 518 555 777 1,110 1,295 1,554 2,590 3,885 4,759 7,770 9,518 14,277 23,795 28,554 33,313 47,590 66,626 71,385 99,939 142,770 166,565 176,083 199,878 333,130 352,166 499,695 528,249 880,415 999,390 1,056,498 1,232,581 1,760,830 2,465,162 2,641,245 3,697,743 5,282,490 6,162,905

Collatz Trajectory (134 steps to reach 1)

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

36,977,430 18,488,715 55,466,146 27,733,073 83,199,220 41,599,610 20,799,805 62,399,416 31,199,708 15,599,854 7,799,927 23,399,782 11,699,891 35,099,674 17,549,837 52,649,512 26,324,756 13,162,378 6,581,189 19,743,568 9,871,784 4,935,892 2,467,946 1,233,973 3,701,920 1,850,960 925,480 462,740 231,370 115,685 347,056 173,528 86,764 43,382 21,691 65,074 32,537 97,612 48,806 24,403 73,210 36,605 109,816 54,908 27,454 13,727 41,182 20,591 61,774 30,887 92,662 46,331 138,994 69,497 208,492 104,246 52,123 156,370 78,185 234,556

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