4,457,439

3² × 7 × 70753

4,457,439 factors as 3^2 × 7 × 70753. Its 12 positive divisors give a proper-divisor sum of 2,900,977, so this integer is deficient. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 70753

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,358,416

Proper Divisor Sum 2,900,977

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4457437 ← → #4457447

Radix Representation

Decimal	4457439
Binary	10001000000001111011111 (23 bits)
Octal	0o21001737
Hexadecimal	0x4403DF

Divisor Catalog (12)

1 3 7 9 21 63 70,753 212,259 495,271 636,777 1,485,813 4,457,439

Collatz Trajectory (149 steps to reach 1)

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

4,457,439 13,372,318 6,686,159 20,058,478 10,029,239 30,087,718 15,043,859 45,131,578 22,565,789 67,697,368 33,848,684 16,924,342 8,462,171 25,386,514 12,693,257 38,079,772 19,039,886 9,519,943 28,559,830 14,279,915 42,839,746 21,419,873 64,259,620 32,129,810 16,064,905 48,194,716 24,097,358 12,048,679 36,146,038 18,073,019 54,219,058 27,109,529 81,328,588 40,664,294 20,332,147 60,996,442 30,498,221 91,494,664 45,747,332 22,873,666 11,436,833 34,310,500 17,155,250 8,577,625 25,732,876 12,866,438 6,433,219 19,299,658 9,649,829 28,949,488 14,474,744 7,237,372 3,618,686 1,809,343 5,428,030 2,714,015 8,142,046 4,071,023 12,213,070 6,106,535

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