37,267,802

2 × 11 × 13 × 130307

37,267,802 factors as 2 × 11 × 13 × 130307. Its 16 positive divisors give a proper-divisor sum of 28,407,430, so this integer is deficient. The Collatz stopping time is 90 steps.

Prime Factor Structure

Factorization String 2 × 11 × 13 × 130307

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 65,675,232

Proper Divisor Sum 28,407,430

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #37267801 ← → #37267807

Radix Representation

Decimal	37267802
Binary	10001110001010100101011010 (26 bits)
Octal	0o216124532
Hexadecimal	0x238A95A

Divisor Catalog (16)

1 2 11 13 22 26 143 286 130,307 260,614 1,433,377 1,693,991 2,866,754 3,387,982 18,633,901 37,267,802

Collatz Trajectory (90 steps to reach 1)

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

37,267,802 18,633,901 55,901,704 27,950,852 13,975,426 6,987,713 20,963,140 10,481,570 5,240,785 15,722,356 7,861,178 3,930,589 11,791,768 5,895,884 2,947,942 1,473,971 4,421,914 2,210,957 6,632,872 3,316,436 1,658,218 829,109 2,487,328 1,243,664 621,832 310,916 155,458 77,729 233,188 116,594 58,297 174,892 87,446 43,723 131,170 65,585 196,756 98,378 49,189 147,568 73,784 36,892 18,446 9,223 27,670 13,835 41,506 20,753 62,260 31,130 15,565 46,696 23,348 11,674 5,837 17,512 8,756 4,378 2,189 6,568

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