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Atlas › Integer Profiles › Node 4,444,356

4,444,356

22 × 3 × 7 × 157 × 337
Abundant Even Composite

4,444,356 factors as 2^2 × 3 × 7 × 157 × 337. Its 48 positive divisors give a proper-divisor sum of 7,518,140, so this integer is abundant. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 157 × 337
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 11,962,496
Proper Divisor Sum 7,518,140
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4444339 ← → #4444357

Radix Representation

Decimal 4444356
Binary 10000111101000011000100 (23 bits)
Octal 0o20750304
Hexadecimal 0x43D0C4

Divisor Catalog (48)

1 2 3 4 6 7 12 14 21 28 42 84 157 314 337 471 628 674 942 1,011 1,099 1,348 1,884 2,022 2,198 2,359 3,297 4,044 4,396 4,718 6,594 7,077 9,436 13,188 14,154 28,308 52,909 105,818 158,727 211,636 317,454 370,363 634,908 740,726 1,111,089 1,481,452 2,222,178 4,444,356

Collatz Trajectory (180 steps to reach 1)

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

4,444,356 2,222,178 1,111,089 3,333,268 1,666,634 833,317 2,499,952 1,249,976 624,988 312,494 156,247 468,742 234,371 703,114 351,557 1,054,672 527,336 263,668 131,834 65,917 197,752 98,876 49,438 24,719 74,158 37,079 111,238 55,619 166,858 83,429 250,288 125,144 62,572 31,286 15,643 46,930 23,465 70,396 35,198 17,599 52,798 26,399 79,198 39,599 118,798 59,399 178,198 89,099 267,298 133,649 400,948 200,474 100,237 300,712 150,356 75,178 37,589 112,768 56,384 28,192

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