4,493,732

2² × 71 × 15823

4,493,732 factors as 2^2 × 71 × 15823. Its 12 positive divisors give a proper-divisor sum of 3,481,564, so this integer is deficient. The Collatz stopping time is 211 steps.

Prime Factor Structure

Factorization String 2^2 × 71 × 15823

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,975,296

Proper Divisor Sum 3,481,564

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #4493707 ← → #4493759

Radix Representation

Decimal	4493732
Binary	10001001001000110100100 (23 bits)
Octal	0o21110644
Hexadecimal	0x4491A4

Divisor Catalog (12)

1 2 4 71 142 284 15,823 31,646 63,292 1,123,433 2,246,866 4,493,732

Collatz Trajectory (211 steps to reach 1)

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

4,493,732 2,246,866 1,123,433 3,370,300 1,685,150 842,575 2,527,726 1,263,863 3,791,590 1,895,795 5,687,386 2,843,693 8,531,080 4,265,540 2,132,770 1,066,385 3,199,156 1,599,578 799,789 2,399,368 1,199,684 599,842 299,921 899,764 449,882 224,941 674,824 337,412 168,706 84,353 253,060 126,530 63,265 189,796 94,898 47,449 142,348 71,174 35,587 106,762 53,381 160,144 80,072 40,036 20,018 10,009 30,028 15,014 7,507 22,522 11,261 33,784 16,892 8,446 4,223 12,670 6,335 19,006 9,503 28,510

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