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Atlas › Integer Profiles › Node 4,156,852

4,156,852

22 × 7 × 31 × 4789
Abundant Even Composite

4,156,852 factors as 2^2 × 7 × 31 × 4789. Its 24 positive divisors give a proper-divisor sum of 4,426,828, so this integer is abundant. The Collatz stopping time is 159 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 31 × 4789
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,583,680
Proper Divisor Sum 4,426,828
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #4156847 ← → #4156871

Radix Representation

Decimal 4156852
Binary 1111110110110110110100 (22 bits)
Octal 0o17666664
Hexadecimal 0x3F6DB4

Divisor Catalog (24)

1 2 4 7 14 28 31 62 124 217 434 868 4,789 9,578 19,156 33,523 67,046 134,092 148,459 296,918 593,836 1,039,213 2,078,426 4,156,852

Collatz Trajectory (159 steps to reach 1)

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

4,156,852 2,078,426 1,039,213 3,117,640 1,558,820 779,410 389,705 1,169,116 584,558 292,279 876,838 438,419 1,315,258 657,629 1,972,888 986,444 493,222 246,611 739,834 369,917 1,109,752 554,876 277,438 138,719 416,158 208,079 624,238 312,119 936,358 468,179 1,404,538 702,269 2,106,808 1,053,404 526,702 263,351 790,054 395,027 1,185,082 592,541 1,777,624 888,812 444,406 222,203 666,610 333,305 999,916 499,958 249,979 749,938 374,969 1,124,908 562,454 281,227 843,682 421,841 1,265,524 632,762 316,381 949,144

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