437,784

2³ × 3 × 17 × 29 × 37

437,784 factors as 2^3 × 3 × 17 × 29 × 37. Its 64 positive divisors give a proper-divisor sum of 793,416, so this integer is abundant. The Collatz stopping time is 187 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 17 × 29 × 37

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 1,231,200

Proper Divisor Sum 793,416

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #437771 ← → #437809

Radix Representation

Decimal	437784
Binary	1101010111000011000 (19 bits)
Octal	0o1527030
Hexadecimal	0x6AE18

Divisor Catalog (60 of 64)

1 2 3 4 6 8 12 17 24 29 34 37 51 58 68 74 87 102 111 116 136 148 174 204 222 232 296 348 408 444 493 629 696 888 986 1,073 1,258 1,479 1,887 1,972 2,146 2,516 2,958 3,219 3,774 3,944 4,292 5,032 5,916 6,438 7,548 8,584 11,832 12,876 15,096 18,241 25,752 36,482 54,723 72,964

Collatz Trajectory (187 steps to reach 1)

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

437,784 218,892 109,446 54,723 164,170 82,085 246,256 123,128 61,564 30,782 15,391 46,174 23,087 69,262 34,631 103,894 51,947 155,842 77,921 233,764 116,882 58,441 175,324 87,662 43,831 131,494 65,747 197,242 98,621 295,864 147,932 73,966 36,983 110,950 55,475 166,426 83,213 249,640 124,820 62,410 31,205 93,616 46,808 23,404 11,702 5,851 17,554 8,777 26,332 13,166 6,583 19,750 9,875 29,626 14,813 44,440 22,220 11,110 5,555 16,666

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