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Atlas › Integer Profiles › Node 37,200,062

37,200,062

2 × 19 × 23 × 31 × 1373
Deficient Even Composite

37,200,062 factors as 2 × 19 × 23 × 31 × 1373. Its 32 positive divisors give a proper-divisor sum of 26,113,858, so this integer is deficient. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 2 × 19 × 23 × 31 × 1373
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 63,313,920
Proper Divisor Sum 26,113,858
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #37200061 ← → #37200071

Radix Representation

Decimal 37200062
Binary 10001101111010000010111110 (26 bits)
Octal 0o215720276
Hexadecimal 0x237A0BE

Divisor Catalog (32)

1 2 19 23 31 38 46 62 437 589 713 874 1,178 1,373 1,426 2,746 13,547 26,087 27,094 31,579 42,563 52,174 63,158 85,126 600,001 808,697 978,949 1,200,002 1,617,394 1,957,898 18,600,031 37,200,062

Collatz Trajectory (103 steps to reach 1)

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

37,200,062 18,600,031 55,800,094 27,900,047 83,700,142 41,850,071 125,550,214 62,775,107 188,325,322 94,162,661 282,487,984 141,243,992 70,621,996 35,310,998 17,655,499 52,966,498 26,483,249 79,449,748 39,724,874 19,862,437 59,587,312 29,793,656 14,896,828 7,448,414 3,724,207 11,172,622 5,586,311 16,758,934 8,379,467 25,138,402 12,569,201 37,707,604 18,853,802 9,426,901 28,280,704 14,140,352 7,070,176 3,535,088 1,767,544 883,772 441,886 220,943 662,830 331,415 994,246 497,123 1,491,370 745,685 2,237,056 1,118,528 559,264 279,632 139,816 69,908 34,954 17,477 52,432 26,216 13,108 6,554

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