λ
Harmonic Matrix

3,162,142

2 × 1581071
Deficient Even Composite

3,162,142 has digital root 1. The neighboring primes are 3162101 and 3162143; its proper-divisor sum differs from the starting integer by -1,581,068.

Prime Factor Structure

Factorization String 2 × 1581071
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,743,216
Proper Divisor Sum 1,581,074
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #3162101 ← → #3162143

Radix Representation

Decimal 3162142
Binary 1100000100000000011110 (22 bits)
Octal 0o14040036
Hexadecimal 0x30401E

Divisor Catalog (4)

1 2 1,581,071 3,162,142

Collatz Trajectory (151 steps to reach 1)

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

3,162,142 1,581,071 4,743,214 2,371,607 7,114,822 3,557,411 10,672,234 5,336,117 16,008,352 8,004,176 4,002,088 2,001,044 1,000,522 500,261 1,500,784 750,392 375,196 187,598 93,799 281,398 140,699 422,098 211,049 633,148 316,574 158,287 474,862 237,431 712,294 356,147 1,068,442 534,221 1,602,664 801,332 400,666 200,333 601,000 300,500 150,250 75,125 225,376 112,688 56,344 28,172 14,086 7,043 21,130 10,565 31,696 15,848 7,924 3,962 1,981 5,944 2,972 1,486 743 2,230 1,115 3,346

More profiles

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