λ
Harmonic Matrix

4,336,642

2 × 67 × 32363
Deficient Even Composite

4,336,642 has digital root 1. The neighboring primes are 4336639 and 4336663; its proper-divisor sum differs from the starting integer by -2,071,028.

Prime Factor Structure

Factorization String 2 × 67 × 32363
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,602,256
Proper Divisor Sum 2,265,614
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4336639 ← → #4336663

Radix Representation

Decimal 4336642
Binary 10000100010110000000010 (23 bits)
Octal 0o20426002
Hexadecimal 0x422C02

Divisor Catalog (8)

1 2 67 134 32,363 64,726 2,168,321 4,336,642

Collatz Trajectory (154 steps to reach 1)

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

4,336,642 2,168,321 6,504,964 3,252,482 1,626,241 4,878,724 2,439,362 1,219,681 3,659,044 1,829,522 914,761 2,744,284 1,372,142 686,071 2,058,214 1,029,107 3,087,322 1,543,661 4,630,984 2,315,492 1,157,746 578,873 1,736,620 868,310 434,155 1,302,466 651,233 1,953,700 976,850 488,425 1,465,276 732,638 366,319 1,098,958 549,479 1,648,438 824,219 2,472,658 1,236,329 3,708,988 1,854,494 927,247 2,781,742 1,390,871 4,172,614 2,086,307 6,258,922 3,129,461 9,388,384 4,694,192 2,347,096 1,173,548 586,774 293,387 880,162 440,081 1,320,244 660,122 330,061 990,184

More profiles

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