λ
Harmonic Matrix

1,352,642

2 × 307 × 2203
Deficient Even Composite

1,352,642 has digital root 5. The neighboring primes are 1352641 and 1352657; its proper-divisor sum differs from the starting integer by -668,788.

Prime Factor Structure

Factorization String 2 × 307 × 2203
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,036,496
Proper Divisor Sum 683,854
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #1352641 ← → #1352657

Radix Representation

Decimal 1352642
Binary 101001010001111000010 (21 bits)
Octal 0o5121702
Hexadecimal 0x14A3C2

Divisor Catalog (8)

1 2 307 614 2,203 4,406 676,321 1,352,642

Collatz Trajectory (137 steps to reach 1)

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

1,352,642 676,321 2,028,964 1,014,482 507,241 1,521,724 760,862 380,431 1,141,294 570,647 1,711,942 855,971 2,567,914 1,283,957 3,851,872 1,925,936 962,968 481,484 240,742 120,371 361,114 180,557 541,672 270,836 135,418 67,709 203,128 101,564 50,782 25,391 76,174 38,087 114,262 57,131 171,394 85,697 257,092 128,546 64,273 192,820 96,410 48,205 144,616 72,308 36,154 18,077 54,232 27,116 13,558 6,779 20,338 10,169 30,508 15,254 7,627 22,882 11,441 34,324 17,162 8,581

More profiles

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