37,267,798

2 × 53 × 269 × 1307

37,267,798 factors as 2 × 53 × 269 × 1307. Its 16 positive divisors give a proper-divisor sum of 19,944,122, so this integer is deficient. The Collatz stopping time is 90 steps.

Prime Factor Structure

Factorization String 2 × 53 × 269 × 1307

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 57,211,920

Proper Divisor Sum 19,944,122

Digit Sum / Digital Root 49 (Root: 4)

Adjacent Primes #37267787 ← → #37267801

Radix Representation

Decimal	37267798
Binary	10001110001010100101010110 (26 bits)
Octal	0o216124526
Hexadecimal	0x238A956

Divisor Catalog (16)

1 2 53 106 269 538 1,307 2,614 14,257 28,514 69,271 138,542 351,583 703,166 18,633,899 37,267,798

Collatz Trajectory (90 steps to reach 1)

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

37,267,798 18,633,899 55,901,698 27,950,849 83,852,548 41,926,274 20,963,137 62,889,412 31,444,706 15,722,353 47,167,060 23,583,530 11,791,765 35,375,296 17,687,648 8,843,824 4,421,912 2,210,956 1,105,478 552,739 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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