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Atlas › Integer Profiles › Node 4,291,002

4,291,002

2 × 33 × 229 × 347
Abundant Even Composite

4,291,002 factors as 2 × 3^3 × 229 × 347. Its 32 positive divisors give a proper-divisor sum of 5,313,798, so this integer is abundant. The Collatz stopping time is 211 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 229 × 347
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,604,800
Proper Divisor Sum 5,313,798
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #4290997 ← → #4291031

Radix Representation

Decimal 4291002
Binary 10000010111100110111010 (23 bits)
Octal 0o20274672
Hexadecimal 0x4179BA

Divisor Catalog (32)

1 2 3 6 9 18 27 54 229 347 458 687 694 1,041 1,374 2,061 2,082 3,123 4,122 6,183 6,246 9,369 12,366 18,738 79,463 158,926 238,389 476,778 715,167 1,430,334 2,145,501 4,291,002

Collatz Trajectory (211 steps to reach 1)

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

4,291,002 2,145,501 6,436,504 3,218,252 1,609,126 804,563 2,413,690 1,206,845 3,620,536 1,810,268 905,134 452,567 1,357,702 678,851 2,036,554 1,018,277 3,054,832 1,527,416 763,708 381,854 190,927 572,782 286,391 859,174 429,587 1,288,762 644,381 1,933,144 966,572 483,286 241,643 724,930 362,465 1,087,396 543,698 271,849 815,548 407,774 203,887 611,662 305,831 917,494 458,747 1,376,242 688,121 2,064,364 1,032,182 516,091 1,548,274 774,137 2,322,412 1,161,206 580,603 1,741,810 870,905 2,612,716 1,306,358 653,179 1,959,538 979,769

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