437,199

3 × 7 × 109 × 191

437,199 has digital root 6. The neighboring primes are 437191 and 437201; its proper-divisor sum differs from the starting integer by -198,558.

Prime Factor Structure

Factorization String 3 × 7 × 109 × 191

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 675,840

Proper Divisor Sum 238,641

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #437191 ← → #437201

Radix Representation

Decimal	437199
Binary	1101010101111001111 (19 bits)
Octal	0o1525717
Hexadecimal	0x6ABCF

Divisor Catalog (16)

1 3 7 21 109 191 327 573 763 1,337 2,289 4,011 20,819 62,457 145,733 437,199

Collatz Trajectory (125 steps to reach 1)

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

437,199 1,311,598 655,799 1,967,398 983,699 2,951,098 1,475,549 4,426,648 2,213,324 1,106,662 553,331 1,659,994 829,997 2,489,992 1,244,996 622,498 311,249 933,748 466,874 233,437 700,312 350,156 175,078 87,539 262,618 131,309 393,928 196,964 98,482 49,241 147,724 73,862 36,931 110,794 55,397 166,192 83,096 41,548 20,774 10,387 31,162 15,581 46,744 23,372 11,686 5,843 17,530 8,765 26,296 13,148 6,574 3,287 9,862 4,931 14,794 7,397 22,192 11,096 5,548 2,774

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