4,457,448

2³ × 3² × 61909

4,457,448 factors as 2^3 × 3^2 × 61909. Its 24 positive divisors give a proper-divisor sum of 7,615,002, so this integer is abundant. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 61909

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 12,072,450

Proper Divisor Sum 7,615,002

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4457447 ← → #4457449

Radix Representation

Decimal	4457448
Binary	10001000000001111101000 (23 bits)
Octal	0o21001750
Hexadecimal	0x4403E8

Divisor Catalog (24)

1 2 3 4 6 8 9 12 18 24 36 72 61,909 123,818 185,727 247,636 371,454 495,272 557,181 742,908 1,114,362 1,485,816 2,228,724 4,457,448

Collatz Trajectory (87 steps to reach 1)

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

4,457,448 2,228,724 1,114,362 557,181 1,671,544 835,772 417,886 208,943 626,830 313,415 940,246 470,123 1,410,370 705,185 2,115,556 1,057,778 528,889 1,586,668 793,334 396,667 1,190,002 595,001 1,785,004 892,502 446,251 1,338,754 669,377 2,008,132 1,004,066 502,033 1,506,100 753,050 376,525 1,129,576 564,788 282,394 141,197 423,592 211,796 105,898 52,949 158,848 79,424 39,712 19,856 9,928 4,964 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524 262 131

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