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Atlas › Integer Profiles › Node 37,707,776

37,707,776

213 × 4603
Abundant Even Composite

37,707,776 factors as 2^13 × 4603. Its 28 positive divisors give a proper-divisor sum of 37,719,556, so this integer is abundant. The Collatz stopping time is 134 steps.

Prime Factor Structure

Factorization String 2^13 × 4603
Distinct Prime Factors 2
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 75,427,332
Proper Divisor Sum 37,719,556
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #37707767 ← → #37707779

Radix Representation

Decimal 37707776
Binary 10001111110110000000000000 (26 bits)
Octal 0o217660000
Hexadecimal 0x23F6000

Divisor Catalog (28)

1 2 4 8 16 32 64 128 256 512 1,024 2,048 4,096 4,603 8,192 9,206 18,412 36,824 73,648 147,296 294,592 589,184 1,178,368 2,356,736 4,713,472 9,426,944 18,853,888 37,707,776

Collatz Trajectory (134 steps to reach 1)

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

37,707,776 18,853,888 9,426,944 4,713,472 2,356,736 1,178,368 589,184 294,592 147,296 73,648 36,824 18,412 9,206 4,603 13,810 6,905 20,716 10,358 5,179 15,538 7,769 23,308 11,654 5,827 17,482 8,741 26,224 13,112 6,556 3,278 1,639 4,918 2,459 7,378 3,689 11,068 5,534 2,767 8,302 4,151 12,454 6,227 18,682 9,341 28,024 14,012 7,006 3,503 10,510 5,255 15,766 7,883 23,650 11,825 35,476 17,738 8,869 26,608 13,304 6,652

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