5,005,724

2² × 1251431

For 5,005,724, the 6 positive divisors have a total of 8,760,024. Removing 5,005,724 leaves 3,754,300, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^2 × 1251431

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 8,760,024

Proper Divisor Sum 3,754,300

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #5005709 ← → #5005757

Radix Representation

Decimal	5005724
Binary	10011000110000110011100 (23 bits)
Octal	0o23060634
Hexadecimal	0x4C619C

Divisor Catalog (6)

1 2 4 1,251,431 2,502,862 5,005,724

Collatz Trajectory (281 steps to reach 1)

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

5,005,724 2,502,862 1,251,431 3,754,294 1,877,147 5,631,442 2,815,721 8,447,164 4,223,582 2,111,791 6,335,374 3,167,687 9,503,062 4,751,531 14,254,594 7,127,297 21,381,892 10,690,946 5,345,473 16,036,420 8,018,210 4,009,105 12,027,316 6,013,658 3,006,829 9,020,488 4,510,244 2,255,122 1,127,561 3,382,684 1,691,342 845,671 2,537,014 1,268,507 3,805,522 1,902,761 5,708,284 2,854,142 1,427,071 4,281,214 2,140,607 6,421,822 3,210,911 9,632,734 4,816,367 14,449,102 7,224,551 21,673,654 10,836,827 32,510,482 16,255,241 48,765,724 24,382,862 12,191,431 36,574,294 18,287,147 54,861,442 27,430,721 82,292,164 41,146,082

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