37,200,054

2 × 3 × 947 × 6547

37,200,054 factors as 2 × 3 × 947 × 6547. Its 16 positive divisors give a proper-divisor sum of 37,289,994, so this integer is abundant. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 2 × 3 × 947 × 6547

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 74,490,048

Proper Divisor Sum 37,289,994

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #37200049 ← → #37200061

Radix Representation

Decimal	37200054
Binary	10001101111010000010110110 (26 bits)
Octal	0o215720266
Hexadecimal	0x237A0B6

Divisor Catalog (16)

1 2 3 6 947 1,894 2,841 5,682 6,547 13,094 19,641 39,282 6,200,009 12,400,018 18,600,027 37,200,054

Collatz Trajectory (165 steps to reach 1)

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

37,200,054 18,600,027 55,800,082 27,900,041 83,700,124 41,850,062 20,925,031 62,775,094 31,387,547 94,162,642 47,081,321 141,243,964 70,621,982 35,310,991 105,932,974 52,966,487 158,899,462 79,449,731 238,349,194 119,174,597 357,523,792 178,761,896 89,380,948 44,690,474 22,345,237 67,035,712 33,517,856 16,758,928 8,379,464 4,189,732 2,094,866 1,047,433 3,142,300 1,571,150 785,575 2,356,726 1,178,363 3,535,090 1,767,545 5,302,636 2,651,318 1,325,659 3,976,978 1,988,489 5,965,468 2,982,734 1,491,367 4,474,102 2,237,051 6,711,154 3,355,577 10,066,732 5,033,366 2,516,683 7,550,050 3,775,025 11,325,076 5,662,538 2,831,269 8,493,808

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