λ
Sigma Notebook

4,319,637

3 × 7 × 29 × 41 × 173
Deficient Odd Composite

4,319,637 is odd and not a perfect square. Its factorization is 3 × 7 × 29 × 41 × 173 and its 32 divisors sum to 7,015,680.

Prime Factor Structure

Factorization String 3 × 7 × 29 × 41 × 173
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,015,680
Proper Divisor Sum 2,696,043
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4319621 ← → #4319671

Radix Representation

Decimal 4319637
Binary 10000011110100110010101 (23 bits)
Octal 0o20364625
Hexadecimal 0x41E995

Divisor Catalog (32)

1 3 7 21 29 41 87 123 173 203 287 519 609 861 1,189 1,211 3,567 3,633 5,017 7,093 8,323 15,051 21,279 24,969 35,119 49,651 105,357 148,953 205,697 617,091 1,439,879 4,319,637

Collatz Trajectory (105 steps to reach 1)

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

4,319,637 12,958,912 6,479,456 3,239,728 1,619,864 809,932 404,966 202,483 607,450 303,725 911,176 455,588 227,794 113,897 341,692 170,846 85,423 256,270 128,135 384,406 192,203 576,610 288,305 864,916 432,458 216,229 648,688 324,344 162,172 81,086 40,543 121,630 60,815 182,446 91,223 273,670 136,835 410,506 205,253 615,760 307,880 153,940 76,970 38,485 115,456 57,728 28,864 14,432 7,216 3,608 1,804 902 451 1,354 677 2,032 1,016 508 254 127

More profiles

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