4,727,073

3 × 13 × 61 × 1987

For 4,727,073, the 16 positive divisors have a total of 6,902,336. Removing 4,727,073 leaves 2,175,263, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 13 × 61 × 1987

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,902,336

Proper Divisor Sum 2,175,263

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #4727069 ← → #4727081

Radix Representation

Decimal	4727073
Binary	10010000010000100100001 (23 bits)
Octal	0o22020441
Hexadecimal	0x482121

Divisor Catalog (16)

1 3 13 39 61 183 793 1,987 2,379 5,961 25,831 77,493 121,207 363,621 1,575,691 4,727,073

Collatz Trajectory (224 steps to reach 1)

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

4,727,073 14,181,220 7,090,610 3,545,305 10,635,916 5,317,958 2,658,979 7,976,938 3,988,469 11,965,408 5,982,704 2,991,352 1,495,676 747,838 373,919 1,121,758 560,879 1,682,638 841,319 2,523,958 1,261,979 3,785,938 1,892,969 5,678,908 2,839,454 1,419,727 4,259,182 2,129,591 6,388,774 3,194,387 9,583,162 4,791,581 14,374,744 7,187,372 3,593,686 1,796,843 5,390,530 2,695,265 8,085,796 4,042,898 2,021,449 6,064,348 3,032,174 1,516,087 4,548,262 2,274,131 6,822,394 3,411,197 10,233,592 5,116,796 2,558,398 1,279,199 3,837,598 1,918,799 5,756,398 2,878,199 8,634,598 4,317,299 12,951,898 6,475,949

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