λ
Harmonic Matrix

1,402,108

22 × 71 × 4937
Deficient Even Composite

1,402,108 has digital root 7. The neighboring primes are 1402087 and 1402123; its proper-divisor sum differs from the starting integer by -315,464.

Prime Factor Structure

Factorization String 2^2 × 71 × 4937
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,488,752
Proper Divisor Sum 1,086,644
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #1402087 ← → #1402123

Radix Representation

Decimal 1402108
Binary 101010110010011111100 (21 bits)
Octal 0o5262374
Hexadecimal 0x1564FC

Divisor Catalog (12)

1 2 4 71 142 284 4,937 9,874 19,748 350,527 701,054 1,402,108

Collatz Trajectory (243 steps to reach 1)

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

1,402,108 701,054 350,527 1,051,582 525,791 1,577,374 788,687 2,366,062 1,183,031 3,549,094 1,774,547 5,323,642 2,661,821 7,985,464 3,992,732 1,996,366 998,183 2,994,550 1,497,275 4,491,826 2,245,913 6,737,740 3,368,870 1,684,435 5,053,306 2,526,653 7,579,960 3,789,980 1,894,990 947,495 2,842,486 1,421,243 4,263,730 2,131,865 6,395,596 3,197,798 1,598,899 4,796,698 2,398,349 7,195,048 3,597,524 1,798,762 899,381 2,698,144 1,349,072 674,536 337,268 168,634 84,317 252,952 126,476 63,238 31,619 94,858 47,429 142,288 71,144 35,572 17,786 8,893

More profiles

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