λ
Harmonic Matrix

1,412,132

22 × 53 × 6661
Deficient Even Composite

1,412,132 has digital root 5. The neighboring primes are 1412107 and 1412141; its proper-divisor sum differs from the starting integer by -306,028.

Prime Factor Structure

Factorization String 2^2 × 53 × 6661
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,518,236
Proper Divisor Sum 1,106,104
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #1412107 ← → #1412141

Radix Representation

Decimal 1412132
Binary 101011000110000100100 (21 bits)
Octal 0o5306044
Hexadecimal 0x158C24

Divisor Catalog (12)

1 2 4 53 106 212 6,661 13,322 26,644 353,033 706,066 1,412,132

Collatz Trajectory (155 steps to reach 1)

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

1,412,132 706,066 353,033 1,059,100 529,550 264,775 794,326 397,163 1,191,490 595,745 1,787,236 893,618 446,809 1,340,428 670,214 335,107 1,005,322 502,661 1,507,984 753,992 376,996 188,498 94,249 282,748 141,374 70,687 212,062 106,031 318,094 159,047 477,142 238,571 715,714 357,857 1,073,572 536,786 268,393 805,180 402,590 201,295 603,886 301,943 905,830 452,915 1,358,746 679,373 2,038,120 1,019,060 509,530 254,765 764,296 382,148 191,074 95,537 286,612 143,306 71,653 214,960 107,480 53,740

More profiles

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