λ
Harmonic Matrix

3,071,172

22 × 3 × 13 × 19687
Abundant Even Composite

3,071,172 has digital root 3. The neighboring primes are 3071161 and 3071177; its proper-divisor sum differs from the starting integer by 1,575,352.

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 19687
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,717,696
Proper Divisor Sum 4,646,524
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #3071161 ← → #3071177

Radix Representation

Decimal 3071172
Binary 1011101101110011000100 (22 bits)
Octal 0o13556304
Hexadecimal 0x2EDCC4

Divisor Catalog (24)

1 2 3 4 6 12 13 26 39 52 78 156 19,687 39,374 59,061 78,748 118,122 236,244 255,931 511,862 767,793 1,023,724 1,535,586 3,071,172

Collatz Trajectory (226 steps to reach 1)

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

3,071,172 1,535,586 767,793 2,303,380 1,151,690 575,845 1,727,536 863,768 431,884 215,942 107,971 323,914 161,957 485,872 242,936 121,468 60,734 30,367 91,102 45,551 136,654 68,327 204,982 102,491 307,474 153,737 461,212 230,606 115,303 345,910 172,955 518,866 259,433 778,300 389,150 194,575 583,726 291,863 875,590 437,795 1,313,386 656,693 1,970,080 985,040 492,520 246,260 123,130 61,565 184,696 92,348 46,174 23,087 69,262 34,631 103,894 51,947 155,842 77,921 233,764 116,882

More profiles

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