λ
Harmonic Matrix

1,512,122

2 × 73 × 10357
Deficient Even Composite

1,512,122 has digital root 5. The neighboring primes are 1512113 and 1512127; its proper-divisor sum differs from the starting integer by -724,768.

Prime Factor Structure

Factorization String 2 × 73 × 10357
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,299,476
Proper Divisor Sum 787,354
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #1512113 ← → #1512127

Radix Representation

Decimal 1512122
Binary 101110001001010111010 (21 bits)
Octal 0o5611272
Hexadecimal 0x1712BA

Divisor Catalog (8)

1 2 73 146 10,357 20,714 756,061 1,512,122

Collatz Trajectory (88 steps to reach 1)

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

1,512,122 756,061 2,268,184 1,134,092 567,046 283,523 850,570 425,285 1,275,856 637,928 318,964 159,482 79,741 239,224 119,612 59,806 29,903 89,710 44,855 134,566 67,283 201,850 100,925 302,776 151,388 75,694 37,847 113,542 56,771 170,314 85,157 255,472 127,736 63,868 31,934 15,967 47,902 23,951 71,854 35,927 107,782 53,891 161,674 80,837 242,512 121,256 60,628 30,314 15,157 45,472 22,736 11,368 5,684 2,842 1,421 4,264 2,132 1,066 533 1,600

More profiles

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