439,967

11 × 23 × 37 × 47

439,967 has digital root 2. The neighboring primes are 439961 and 439969; its proper-divisor sum differs from the starting integer by -354,622.

Prime Factor Structure

Factorization String 11 × 23 × 37 × 47

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 525,312

Proper Divisor Sum 85,345

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #439961 ← → #439969

Radix Representation

Decimal	439967
Binary	1101011011010011111 (19 bits)
Octal	0o1533237
Hexadecimal	0x6B69F

Divisor Catalog (16)

1 11 23 37 47 253 407 517 851 1,081 1,739 9,361 11,891 19,129 39,997 439,967

Collatz Trajectory (200 steps to reach 1)

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

439,967 1,319,902 659,951 1,979,854 989,927 2,969,782 1,484,891 4,454,674 2,227,337 6,682,012 3,341,006 1,670,503 5,011,510 2,505,755 7,517,266 3,758,633 11,275,900 5,637,950 2,818,975 8,456,926 4,228,463 12,685,390 6,342,695 19,028,086 9,514,043 28,542,130 14,271,065 42,813,196 21,406,598 10,703,299 32,109,898 16,054,949 48,164,848 24,082,424 12,041,212 6,020,606 3,010,303 9,030,910 4,515,455 13,546,366 6,773,183 20,319,550 10,159,775 30,479,326 15,239,663 45,718,990 22,859,495 68,578,486 34,289,243 102,867,730 51,433,865 154,301,596 77,150,798 38,575,399 115,726,198 57,863,099 173,589,298 86,794,649 260,383,948 130,191,974

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