λ
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Atlas › Integer Profiles › Node 39,477,248

39,477,248

213 × 61 × 79
Abundant Even Composite

39,477,248 factors as 2^13 × 61 × 79. Its 56 positive divisors give a proper-divisor sum of 41,782,432, so this integer is abundant. The Collatz stopping time is 134 steps.

Prime Factor Structure

Factorization String 2^13 × 61 × 79
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 81,259,680
Proper Divisor Sum 41,782,432
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #39477241 ← → #39477257

Radix Representation

Decimal 39477248
Binary 10010110100110000000000000 (26 bits)
Octal 0o226460000
Hexadecimal 0x25A6000

Divisor Catalog (56)

1 2 4 8 16 32 61 64 79 122 128 158 244 256 316 488 512 632 976 1,024 1,264 1,952 2,048 2,528 3,904 4,096 4,819 5,056 7,808 8,192 9,638 10,112 15,616 19,276 20,224 31,232 38,552 40,448 62,464 77,104 80,896 124,928 154,208 161,792 249,856 308,416 323,584 499,712 616,832 647,168 1,233,664 2,467,328 4,934,656 9,869,312 19,738,624 39,477,248

Collatz Trajectory (134 steps to reach 1)

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

39,477,248 19,738,624 9,869,312 4,934,656 2,467,328 1,233,664 616,832 308,416 154,208 77,104 38,552 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 1,144 572 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186

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