λ
Harmonic Matrix

4,403,431

4403431
Deficient Odd Prime

4,403,431 has digital root 1. The neighboring primes are 4403429 and 4403461; its proper-divisor sum differs from the starting integer by -4,403,430.

Prime Factor Structure

Factorization String 4403431
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 4,403,432
Proper Divisor Sum 1
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #4403429 ← → #4403461

Radix Representation

Decimal 4403431
Binary 10000110011000011100111 (23 bits)
Octal 0o20630347
Hexadecimal 0x4330E7

Divisor Catalog (2)

1 4,403,431

Collatz Trajectory (149 steps to reach 1)

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

4,403,431 13,210,294 6,605,147 19,815,442 9,907,721 29,723,164 14,861,582 7,430,791 22,292,374 11,146,187 33,438,562 16,719,281 50,157,844 25,078,922 12,539,461 37,618,384 18,809,192 9,404,596 4,702,298 2,351,149 7,053,448 3,526,724 1,763,362 881,681 2,645,044 1,322,522 661,261 1,983,784 991,892 495,946 247,973 743,920 371,960 185,980 92,990 46,495 139,486 69,743 209,230 104,615 313,846 156,923 470,770 235,385 706,156 353,078 176,539 529,618 264,809 794,428 397,214 198,607 595,822 297,911 893,734 446,867 1,340,602 670,301 2,010,904 1,005,452

More profiles

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