λ
Harmonic Matrix

5,621,432

23 × 702679
Deficient Even Composite

5,621,432 has digital root 5. The neighboring primes are 5621423 and 5621437; its proper-divisor sum differs from the starting integer by -702,664.

Prime Factor Structure

Factorization String 2^3 × 702679
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,540,200
Proper Divisor Sum 4,918,768
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #5621423 ← → #5621437

Radix Representation

Decimal 5621432
Binary 10101011100011010111000 (23 bits)
Octal 0o25343270
Hexadecimal 0x55C6B8

Divisor Catalog (8)

1 2 4 8 702,679 1,405,358 2,810,716 5,621,432

Collatz Trajectory (108 steps to reach 1)

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

5,621,432 2,810,716 1,405,358 702,679 2,108,038 1,054,019 3,162,058 1,581,029 4,743,088 2,371,544 1,185,772 592,886 296,443 889,330 444,665 1,333,996 666,998 333,499 1,000,498 500,249 1,500,748 750,374 375,187 1,125,562 562,781 1,688,344 844,172 422,086 211,043 633,130 316,565 949,696 474,848 237,424 118,712 59,356 29,678 14,839 44,518 22,259 66,778 33,389 100,168 50,084 25,042 12,521 37,564 18,782 9,391 28,174 14,087 42,262 21,131 63,394 31,697 95,092 47,546 23,773 71,320 35,660

More profiles

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