λ
Harmonic Matrix

3,162,445

5 × 11 × 13 × 4423
Deficient Odd Composite

3,162,445 has digital root 7. The neighboring primes are 3162443 and 3162463; its proper-divisor sum differs from the starting integer by -1,865,498.

Prime Factor Structure

Factorization String 5 × 11 × 13 × 4423
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,459,392
Proper Divisor Sum 1,296,947
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #3162443 ← → #3162463

Radix Representation

Decimal 3162445
Binary 1100000100000101001101 (22 bits)
Octal 0o14040515
Hexadecimal 0x30414D

Divisor Catalog (16)

1 5 11 13 55 65 143 715 4,423 22,115 48,653 57,499 243,265 287,495 632,489 3,162,445

Collatz Trajectory (151 steps to reach 1)

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

3,162,445 9,487,336 4,743,668 2,371,834 1,185,917 3,557,752 1,778,876 889,438 444,719 1,334,158 667,079 2,001,238 1,000,619 3,001,858 1,500,929 4,502,788 2,251,394 1,125,697 3,377,092 1,688,546 844,273 2,532,820 1,266,410 633,205 1,899,616 949,808 474,904 237,452 118,726 59,363 178,090 89,045 267,136 133,568 66,784 33,392 16,696 8,348 4,174 2,087 6,262 3,131 9,394 4,697 14,092 7,046 3,523 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347

More profiles

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