3,413,761

13 × 262597

3,413,761 has digital root 7. The neighboring primes are 3413759 and 3413779; its proper-divisor sum differs from the starting integer by -3,151,150.

Prime Factor Structure

Factorization String 13 × 262597

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 3,676,372

Proper Divisor Sum 262,611

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #3413759 ← → #3413779

Radix Representation

Decimal	3413761
Binary	1101000001011100000001 (22 bits)
Octal	0o15013401
Hexadecimal	0x341701

Divisor Catalog (4)

1 13 262,597 3,413,761

Collatz Trajectory (128 steps to reach 1)

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

3,413,761 10,241,284 5,120,642 2,560,321 7,680,964 3,840,482 1,920,241 5,760,724 2,880,362 1,440,181 4,320,544 2,160,272 1,080,136 540,068 270,034 135,017 405,052 202,526 101,263 303,790 151,895 455,686 227,843 683,530 341,765 1,025,296 512,648 256,324 128,162 64,081 192,244 96,122 48,061 144,184 72,092 36,046 18,023 54,070 27,035 81,106 40,553 121,660 60,830 30,415 91,246 45,623 136,870 68,435 205,306 102,653 307,960 153,980 76,990 38,495 115,486 57,743 173,230 86,615 259,846 129,923

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