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Atlas › Integer Profiles › Node 47,344,768

47,344,768

27 × 283 × 1307
Abundant Even Composite

47,344,768 factors as 2^7 × 283 × 1307. Its 32 positive divisors give a proper-divisor sum of 47,380,592, so this integer is abundant. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 2^7 × 283 × 1307
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 94,725,360
Proper Divisor Sum 47,380,592
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #47344757 ← → #47344769

Radix Representation

Decimal 47344768
Binary 10110100100110110010000000 (26 bits)
Octal 0o264466200
Hexadecimal 0x2D26C80

Divisor Catalog (32)

1 2 4 8 16 32 64 128 283 566 1,132 1,307 2,264 2,614 4,528 5,228 9,056 10,456 18,112 20,912 36,224 41,824 83,648 167,296 369,881 739,762 1,479,524 2,959,048 5,918,096 11,836,192 23,672,384 47,344,768

Collatz Trajectory (142 steps to reach 1)

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

47,344,768 23,672,384 11,836,192 5,918,096 2,959,048 1,479,524 739,762 369,881 1,109,644 554,822 277,411 832,234 416,117 1,248,352 624,176 312,088 156,044 78,022 39,011 117,034 58,517 175,552 87,776 43,888 21,944 10,972 5,486 2,743 8,230 4,115 12,346 6,173 18,520 9,260 4,630 2,315 6,946 3,473 10,420 5,210 2,605 7,816 3,908 1,954 977 2,932 1,466 733 2,200 1,100 550 275 826 413 1,240 620 310 155 466 233

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