λ
Harmonic Matrix

1,410,148

22 × 167 × 2111
Deficient Even Composite

1,410,148 has digital root 1. The neighboring primes are 1410139 and 1410163; its proper-divisor sum differs from the starting integer by -336,584.

Prime Factor Structure

Factorization String 2^2 × 167 × 2111
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,483,712
Proper Divisor Sum 1,073,564
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #1410139 ← → #1410163

Radix Representation

Decimal 1410148
Binary 101011000010001100100 (21 bits)
Octal 0o5302144
Hexadecimal 0x158464

Divisor Catalog (12)

1 2 4 167 334 668 2,111 4,222 8,444 352,537 705,074 1,410,148

Collatz Trajectory (305 steps to reach 1)

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

1,410,148 705,074 352,537 1,057,612 528,806 264,403 793,210 396,605 1,189,816 594,908 297,454 148,727 446,182 223,091 669,274 334,637 1,003,912 501,956 250,978 125,489 376,468 188,234 94,117 282,352 141,176 70,588 35,294 17,647 52,942 26,471 79,414 39,707 119,122 59,561 178,684 89,342 44,671 134,014 67,007 201,022 100,511 301,534 150,767 452,302 226,151 678,454 339,227 1,017,682 508,841 1,526,524 763,262 381,631 1,144,894 572,447 1,717,342 858,671 2,576,014 1,288,007 3,864,022 1,932,011

More profiles

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