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Atlas › Integer Profiles › Node 27,448,432

27,448,432

24 × 11 × 83 × 1879
Abundant Even Composite

27,448,432 factors as 2^4 × 11 × 83 × 1879. Its 40 positive divisors give a proper-divisor sum of 31,297,808, so this integer is abundant. The Collatz stopping time is 211 steps.

Prime Factor Structure

Factorization String 2^4 × 11 × 83 × 1879
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 58,746,240
Proper Divisor Sum 31,297,808
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #27448429 ← → #27448441

Radix Representation

Decimal 27448432
Binary 1101000101101010001110000 (25 bits)
Octal 0o150552160
Hexadecimal 0x1A2D470

Divisor Catalog (40)

1 2 4 8 11 16 22 44 83 88 166 176 332 664 913 1,328 1,826 1,879 3,652 3,758 7,304 7,516 14,608 15,032 20,669 30,064 41,338 82,676 155,957 165,352 311,914 330,704 623,828 1,247,656 1,715,527 2,495,312 3,431,054 6,862,108 13,724,216 27,448,432

Collatz Trajectory (211 steps to reach 1)

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

27,448,432 13,724,216 6,862,108 3,431,054 1,715,527 5,146,582 2,573,291 7,719,874 3,859,937 11,579,812 5,789,906 2,894,953 8,684,860 4,342,430 2,171,215 6,513,646 3,256,823 9,770,470 4,885,235 14,655,706 7,327,853 21,983,560 10,991,780 5,495,890 2,747,945 8,243,836 4,121,918 2,060,959 6,182,878 3,091,439 9,274,318 4,637,159 13,911,478 6,955,739 20,867,218 10,433,609 31,300,828 15,650,414 7,825,207 23,475,622 11,737,811 35,213,434 17,606,717 52,820,152 26,410,076 13,205,038 6,602,519 19,807,558 9,903,779 29,711,338 14,855,669 44,567,008 22,283,504 11,141,752 5,570,876 2,785,438 1,392,719 4,178,158 2,089,079 6,267,238

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