λ
Harmonic Matrix

5,272,902

2 × 32 × 197 × 1487
Abundant Even Composite

5,272,902 has digital root 9. The neighboring primes are 5272877 and 5272909; its proper-divisor sum differs from the starting integer by 944,532.

Prime Factor Structure

Factorization String 2 × 3^2 × 197 × 1487
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 11,490,336
Proper Divisor Sum 6,217,434
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5272877 ← → #5272909

Radix Representation

Decimal 5272902
Binary 10100000111010101000110 (23 bits)
Octal 0o24072506
Hexadecimal 0x507546

Divisor Catalog (24)

1 2 3 6 9 18 197 394 591 1,182 1,487 1,773 2,974 3,546 4,461 8,922 13,383 26,766 292,939 585,878 878,817 1,757,634 2,636,451 5,272,902

Collatz Trajectory (188 steps to reach 1)

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

5,272,902 2,636,451 7,909,354 3,954,677 11,864,032 5,932,016 2,966,008 1,483,004 741,502 370,751 1,112,254 556,127 1,668,382 834,191 2,502,574 1,251,287 3,753,862 1,876,931 5,630,794 2,815,397 8,446,192 4,223,096 2,111,548 1,055,774 527,887 1,583,662 791,831 2,375,494 1,187,747 3,563,242 1,781,621 5,344,864 2,672,432 1,336,216 668,108 334,054 167,027 501,082 250,541 751,624 375,812 187,906 93,953 281,860 140,930 70,465 211,396 105,698 52,849 158,548 79,274 39,637 118,912 59,456 29,728 14,864 7,432 3,716 1,858 929

More profiles

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