4,349,967

3 × 23² × 2741

4,349,967 has digital root 6. The neighboring primes are 4349959 and 4349987; its proper-divisor sum differs from the starting integer by -2,634,630.

Prime Factor Structure

Factorization String 3 × 23^2 × 2741

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,065,304

Proper Divisor Sum 1,715,337

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #4349959 ← → #4349987

Radix Representation

Decimal	4349967
Binary	10000100110000000001111 (23 bits)
Octal	0o20460017
Hexadecimal	0x42600F

Divisor Catalog (12)

1 3 23 69 529 1,587 2,741 8,223 63,043 189,129 1,449,989 4,349,967

Collatz Trajectory (118 steps to reach 1)

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

4,349,967 13,049,902 6,524,951 19,574,854 9,787,427 29,362,282 14,681,141 44,043,424 22,021,712 11,010,856 5,505,428 2,752,714 1,376,357 4,129,072 2,064,536 1,032,268 516,134 258,067 774,202 387,101 1,161,304 580,652 290,326 145,163 435,490 217,745 653,236 326,618 163,309 489,928 244,964 122,482 61,241 183,724 91,862 45,931 137,794 68,897 206,692 103,346 51,673 155,020 77,510 38,755 116,266 58,133 174,400 87,200 43,600 21,800 10,900 5,450 2,725 8,176 4,088 2,044 1,022 511 1,534 767

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