439,984

2⁴ × 107 × 257

439,984 has digital root 1. The neighboring primes are 439981 and 439991; its proper-divisor sum differs from the starting integer by -16,184.

Prime Factor Structure

Factorization String 2^4 × 107 × 257

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 863,784

Proper Divisor Sum 423,800

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #439981 ← → #439991

Radix Representation

Decimal	439984
Binary	1101011011010110000 (19 bits)
Octal	0o1533260
Hexadecimal	0x6B6B0

Divisor Catalog (20)

1 2 4 8 16 107 214 257 428 514 856 1,028 1,712 2,056 4,112 27,499 54,998 109,996 219,992 439,984

Collatz Trajectory (94 steps to reach 1)

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

439,984 219,992 109,996 54,998 27,499 82,498 41,249 123,748 61,874 30,937 92,812 46,406 23,203 69,610 34,805 104,416 52,208 26,104 13,052 6,526 3,263 9,790 4,895 14,686 7,343 22,030 11,015 33,046 16,523 49,570 24,785 74,356 37,178 18,589 55,768 27,884 13,942 6,971 20,914 10,457 31,372 15,686 7,843 23,530 11,765 35,296 17,648 8,824 4,412 2,206 1,103 3,310 1,655 4,966 2,483 7,450 3,725 11,176 5,588 2,794

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