λ
Harmonic Matrix

1,401,568

25 × 7 × 6257
Abundant Even Composite

1,401,568 has digital root 7. The neighboring primes are 1401559 and 1401571; its proper-divisor sum differs from the starting integer by 350,896.

Prime Factor Structure

Factorization String 2^5 × 7 × 6257
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,154,032
Proper Divisor Sum 1,752,464
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #1401559 ← → #1401571

Radix Representation

Decimal 1401568
Binary 101010110001011100000 (21 bits)
Octal 0o5261340
Hexadecimal 0x1562E0

Divisor Catalog (24)

1 2 4 7 8 14 16 28 32 56 112 224 6,257 12,514 25,028 43,799 50,056 87,598 100,112 175,196 200,224 350,392 700,784 1,401,568

Collatz Trajectory (168 steps to reach 1)

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

1,401,568 700,784 350,392 175,196 87,598 43,799 131,398 65,699 197,098 98,549 295,648 147,824 73,912 36,956 18,478 9,239 27,718 13,859 41,578 20,789 62,368 31,184 15,592 7,796 3,898 1,949 5,848 2,924 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248

More profiles

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