λ
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Atlas › Integer Profiles › Node 7,693,148

7,693,148

22 × 47 × 151 × 271
Deficient Even Composite

7,693,148 factors as 2^2 × 47 × 151 × 271. Its 24 positive divisors give a proper-divisor sum of 6,198,436, so this integer is deficient. The Collatz stopping time is 217 steps.

Prime Factor Structure

Factorization String 2^2 × 47 × 151 × 271
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 13,891,584
Proper Divisor Sum 6,198,436
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #7693123 ← → #7693159

Radix Representation

Decimal 7693148
Binary 11101010110001101011100 (23 bits)
Octal 0o35261534
Hexadecimal 0x75635C

Divisor Catalog (24)

1 2 4 47 94 151 188 271 302 542 604 1,084 7,097 12,737 14,194 25,474 28,388 40,921 50,948 81,842 163,684 1,923,287 3,846,574 7,693,148

Collatz Trajectory (217 steps to reach 1)

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

7,693,148 3,846,574 1,923,287 5,769,862 2,884,931 8,654,794 4,327,397 12,982,192 6,491,096 3,245,548 1,622,774 811,387 2,434,162 1,217,081 3,651,244 1,825,622 912,811 2,738,434 1,369,217 4,107,652 2,053,826 1,026,913 3,080,740 1,540,370 770,185 2,310,556 1,155,278 577,639 1,732,918 866,459 2,599,378 1,299,689 3,899,068 1,949,534 974,767 2,924,302 1,462,151 4,386,454 2,193,227 6,579,682 3,289,841 9,869,524 4,934,762 2,467,381 7,402,144 3,701,072 1,850,536 925,268 462,634 231,317 693,952 346,976 173,488 86,744 43,372 21,686 10,843 32,530 16,265 48,796

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