λ
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Atlas › Integer Profiles › Node 4,339,768

4,339,768

23 × 41 × 101 × 131
Deficient Even Composite

4,339,768 factors as 2^3 × 41 × 101 × 131. Its 32 positive divisors give a proper-divisor sum of 4,142,552, so this integer is deficient. The Collatz stopping time is 211 steps.

Prime Factor Structure

Factorization String 2^3 × 41 × 101 × 131
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,482,320
Proper Divisor Sum 4,142,552
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #4339757 ← → #4339781

Radix Representation

Decimal 4339768
Binary 10000100011100000111000 (23 bits)
Octal 0o20434070
Hexadecimal 0x423838

Divisor Catalog (32)

1 2 4 8 41 82 101 131 164 202 262 328 404 524 808 1,048 4,141 5,371 8,282 10,742 13,231 16,564 21,484 26,462 33,128 42,968 52,924 105,848 542,471 1,084,942 2,169,884 4,339,768

Collatz Trajectory (211 steps to reach 1)

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

4,339,768 2,169,884 1,084,942 542,471 1,627,414 813,707 2,441,122 1,220,561 3,661,684 1,830,842 915,421 2,746,264 1,373,132 686,566 343,283 1,029,850 514,925 1,544,776 772,388 386,194 193,097 579,292 289,646 144,823 434,470 217,235 651,706 325,853 977,560 488,780 244,390 122,195 366,586 183,293 549,880 274,940 137,470 68,735 206,206 103,103 309,310 154,655 463,966 231,983 695,950 347,975 1,043,926 521,963 1,565,890 782,945 2,348,836 1,174,418 587,209 1,761,628 880,814 440,407 1,321,222 660,611 1,981,834 990,917

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