λ
Harmonic Matrix

3,175,452

22 × 32 × 7 × 12601
Abundant Even Composite

3,175,452 has digital root 9. The neighboring primes are 3175441 and 3175463; its proper-divisor sum differs from the starting integer by 2,823,352.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 12601
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 9,174,256
Proper Divisor Sum 5,998,804
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3175441 ← → #3175463

Radix Representation

Decimal 3175452
Binary 1100000111010000011100 (22 bits)
Octal 0o14072034
Hexadecimal 0x30741C

Divisor Catalog (36)

1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 12,601 25,202 37,803 50,404 75,606 88,207 113,409 151,212 176,414 226,818 264,621 352,828 453,636 529,242 793,863 1,058,484 1,587,726 3,175,452

Collatz Trajectory (195 steps to reach 1)

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

3,175,452 1,587,726 793,863 2,381,590 1,190,795 3,572,386 1,786,193 5,358,580 2,679,290 1,339,645 4,018,936 2,009,468 1,004,734 502,367 1,507,102 753,551 2,260,654 1,130,327 3,390,982 1,695,491 5,086,474 2,543,237 7,629,712 3,814,856 1,907,428 953,714 476,857 1,430,572 715,286 357,643 1,072,930 536,465 1,609,396 804,698 402,349 1,207,048 603,524 301,762 150,881 452,644 226,322 113,161 339,484 169,742 84,871 254,614 127,307 381,922 190,961 572,884 286,442 143,221 429,664 214,832 107,416 53,708 26,854 13,427 40,282 20,141

More profiles

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