λ
Integer Codex

629,028

22 × 32 × 101 × 173
Abundant Even Composite

For 629,028, the 36 positive divisors have a total of 1,615,068. Removing 629,028 leaves 986,040, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 101 × 173
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 1,615,068
Proper Divisor Sum 986,040
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #629023 ← → #629029

Radix Representation

Decimal 629028
Binary 10011001100100100100 (20 bits)
Octal 0o2314444
Hexadecimal 0x99924

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 101 173 202 303 346 404 519 606 692 909 1,038 1,212 1,557 1,818 2,076 3,114 3,636 6,228 17,473 34,946 52,419 69,892 104,838 157,257 209,676 314,514 629,028

Collatz Trajectory (110 steps to reach 1)

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

629,028 314,514 157,257 471,772 235,886 117,943 353,830 176,915 530,746 265,373 796,120 398,060 199,030 99,515 298,546 149,273 447,820 223,910 111,955 335,866 167,933 503,800 251,900 125,950 62,975 188,926 94,463 283,390 141,695 425,086 212,543 637,630 318,815 956,446 478,223 1,434,670 717,335 2,152,006 1,076,003 3,228,010 1,614,005 4,842,016 2,421,008 1,210,504 605,252 302,626 151,313 453,940 226,970 113,485 340,456 170,228 85,114 42,557 127,672 63,836 31,918 15,959 47,878 23,939

More profiles

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