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Atlas › Integer Profiles › Node 3,614,408

3,614,408

23 × 7 × 19 × 43 × 79
Abundant Even Composite

3,614,408 factors as 2^3 × 7 × 19 × 43 × 79. Its 64 positive divisors give a proper-divisor sum of 4,833,592, so this integer is abundant. The Collatz stopping time is 159 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 19 × 43 × 79
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 8,448,000
Proper Divisor Sum 4,833,592
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #3614407 ← → #3614411

Radix Representation

Decimal 3614408
Binary 1101110010011011001000 (22 bits)
Octal 0o15623310
Hexadecimal 0x3726C8

Divisor Catalog (60 of 64)

1 2 4 7 8 14 19 28 38 43 56 76 79 86 133 152 158 172 266 301 316 344 532 553 602 632 817 1,064 1,106 1,204 1,501 1,634 2,212 2,408 3,002 3,268 3,397 4,424 5,719 6,004 6,536 6,794 10,507 11,438 12,008 13,588 21,014 22,876 23,779 27,176 42,028 45,752 47,558 64,543 84,056 95,116 129,086 190,232 258,172 451,801

Collatz Trajectory (159 steps to reach 1)

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

3,614,408 1,807,204 903,602 451,801 1,355,404 677,702 338,851 1,016,554 508,277 1,524,832 762,416 381,208 190,604 95,302 47,651 142,954 71,477 214,432 107,216 53,608 26,804 13,402 6,701 20,104 10,052 5,026 2,513 7,540 3,770 1,885 5,656 2,828 1,414 707 2,122 1,061 3,184 1,592 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646

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