λ
Harmonic Matrix

3,469,249

72 × 101 × 701
Deficient Odd Composite

3,469,249 has digital root 1. The neighboring primes are 3469247 and 3469313; its proper-divisor sum differs from the starting integer by -2,857,070.

Prime Factor Structure

Factorization String 7^2 × 101 × 701
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 4,081,428
Proper Divisor Sum 612,179
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #3469247 ← → #3469313

Radix Representation

Decimal 3469249
Binary 1101001110111111000001 (22 bits)
Octal 0o15167701
Hexadecimal 0x34EFC1

Divisor Catalog (12)

1 7 49 101 701 707 4,907 4,949 34,349 70,801 495,607 3,469,249

Collatz Trajectory (133 steps to reach 1)

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

3,469,249 10,407,748 5,203,874 2,601,937 7,805,812 3,902,906 1,951,453 5,854,360 2,927,180 1,463,590 731,795 2,195,386 1,097,693 3,293,080 1,646,540 823,270 411,635 1,234,906 617,453 1,852,360 926,180 463,090 231,545 694,636 347,318 173,659 520,978 260,489 781,468 390,734 195,367 586,102 293,051 879,154 439,577 1,318,732 659,366 329,683 989,050 494,525 1,483,576 741,788 370,894 185,447 556,342 278,171 834,514 417,257 1,251,772 625,886 312,943 938,830 469,415 1,408,246 704,123 2,112,370 1,056,185 3,168,556 1,584,278 792,139

More profiles

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