λ
Sigma Notebook

4,739,385

3 × 5 × 7 × 45137
Deficient Odd Composite

4,739,385 is odd and not a perfect square. Its factorization is 3 × 5 × 7 × 45137 and its 16 divisors sum to 8,666,496.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 45137
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,666,496
Proper Divisor Sum 3,927,111
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #4739381 ← → #4739407

Radix Representation

Decimal 4739385
Binary 10010000101000100111001 (23 bits)
Octal 0o22050471
Hexadecimal 0x485139

Divisor Catalog (16)

1 3 5 7 15 21 35 105 45,137 135,411 225,685 315,959 677,055 947,877 1,579,795 4,739,385

Collatz Trajectory (237 steps to reach 1)

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

4,739,385 14,218,156 7,109,078 3,554,539 10,663,618 5,331,809 15,995,428 7,997,714 3,998,857 11,996,572 5,998,286 2,999,143 8,997,430 4,498,715 13,496,146 6,748,073 20,244,220 10,122,110 5,061,055 15,183,166 7,591,583 22,774,750 11,387,375 34,162,126 17,081,063 51,243,190 25,621,595 76,864,786 38,432,393 115,297,180 57,648,590 28,824,295 86,472,886 43,236,443 129,709,330 64,854,665 194,563,996 97,281,998 48,640,999 145,922,998 72,961,499 218,884,498 109,442,249 328,326,748 164,163,374 82,081,687 246,245,062 123,122,531 369,367,594 184,683,797 554,051,392 277,025,696 138,512,848 69,256,424 34,628,212 17,314,106 8,657,053 25,971,160 12,985,580 6,492,790

More profiles

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