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Atlas › Integer Profiles › Node 4,281,996

4,281,996

22 × 3 × 101 × 3533
Abundant Even Composite

4,281,996 factors as 2^2 × 3 × 101 × 3533. Its 24 positive divisors give a proper-divisor sum of 5,811,108, so this integer is abundant. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 101 × 3533
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 10,093,104
Proper Divisor Sum 5,811,108
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #4281989 ← → #4282001

Radix Representation

Decimal 4281996
Binary 10000010101011010001100 (23 bits)
Octal 0o20253214
Hexadecimal 0x41568C

Divisor Catalog (24)

1 2 3 4 6 12 101 202 303 404 606 1,212 3,533 7,066 10,599 14,132 21,198 42,396 356,833 713,666 1,070,499 1,427,332 2,140,998 4,281,996

Collatz Trajectory (167 steps to reach 1)

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

4,281,996 2,140,998 1,070,499 3,211,498 1,605,749 4,817,248 2,408,624 1,204,312 602,156 301,078 150,539 451,618 225,809 677,428 338,714 169,357 508,072 254,036 127,018 63,509 190,528 95,264 47,632 23,816 11,908 5,954 2,977 8,932 4,466 2,233 6,700 3,350 1,675 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

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