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Atlas › Integer Profiles › Node 4,456,548

4,456,548

22 × 32 × 79 × 1567
Abundant Even Composite

4,456,548 factors as 2^2 × 3^2 × 79 × 1567. Its 36 positive divisors give a proper-divisor sum of 6,958,492, so this integer is abundant. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 79 × 1567
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 11,415,040
Proper Divisor Sum 6,958,492
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4456547 ← → #4456553

Radix Representation

Decimal 4456548
Binary 10001000000000001100100 (23 bits)
Octal 0o21000144
Hexadecimal 0x440064

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 79 158 237 316 474 711 948 1,422 1,567 2,844 3,134 4,701 6,268 9,402 14,103 18,804 28,206 56,412 123,793 247,586 371,379 495,172 742,758 1,114,137 1,485,516 2,228,274 4,456,548

Collatz Trajectory (87 steps to reach 1)

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

4,456,548 2,228,274 1,114,137 3,342,412 1,671,206 835,603 2,506,810 1,253,405 3,760,216 1,880,108 940,054 470,027 1,410,082 705,041 2,115,124 1,057,562 528,781 1,586,344 793,172 396,586 198,293 594,880 297,440 148,720 74,360 37,180 18,590 9,295 27,886 13,943 41,830 20,915 62,746 31,373 94,120 47,060 23,530 11,765 35,296 17,648 8,824 4,412 2,206 1,103 3,310 1,655 4,966 2,483 7,450 3,725 11,176 5,588 2,794 1,397 4,192 2,096 1,048 524 262 131

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