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Atlas › Integer Profiles › Node 2,432,848

2,432,848

24 × 11 × 23 × 601
Abundant Even Composite

2,432,848 factors as 2^4 × 11 × 23 × 601. Its 40 positive divisors give a proper-divisor sum of 2,941,808, so this integer is abundant. The Collatz stopping time is 161 steps.

Prime Factor Structure

Factorization String 2^4 × 11 × 23 × 601
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 5,374,656
Proper Divisor Sum 2,941,808
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2432809 ← → #2432851

Radix Representation

Decimal 2432848
Binary 1001010001111101010000 (22 bits)
Octal 0o11217520
Hexadecimal 0x251F50

Divisor Catalog (40)

1 2 4 8 11 16 22 23 44 46 88 92 176 184 253 368 506 601 1,012 1,202 2,024 2,404 4,048 4,808 6,611 9,616 13,222 13,823 26,444 27,646 52,888 55,292 105,776 110,584 152,053 221,168 304,106 608,212 1,216,424 2,432,848

Collatz Trajectory (161 steps to reach 1)

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

2,432,848 1,216,424 608,212 304,106 152,053 456,160 228,080 114,040 57,020 28,510 14,255 42,766 21,383 64,150 32,075 96,226 48,113 144,340 72,170 36,085 108,256 54,128 27,064 13,532 6,766 3,383 10,150 5,075 15,226 7,613 22,840 11,420 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152 4,576 2,288 1,144 572 286 143 430

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