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Atlas › Integer Profiles › Node 33,825,472

33,825,472

26 × 19 × 27817
Abundant Even Composite

33,825,472 factors as 2^6 × 19 × 27817. Its 28 positive divisors give a proper-divisor sum of 36,832,248, so this integer is abundant. The Collatz stopping time is 82 steps.

Prime Factor Structure

Factorization String 2^6 × 19 × 27817
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 70,657,720
Proper Divisor Sum 36,832,248
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #33825457 ← → #33825503

Radix Representation

Decimal 33825472
Binary 10000001000010001011000000 (26 bits)
Octal 0o201021300
Hexadecimal 0x20422C0

Divisor Catalog (28)

1 2 4 8 16 19 32 38 64 76 152 304 608 1,216 27,817 55,634 111,268 222,536 445,072 528,523 890,144 1,057,046 1,780,288 2,114,092 4,228,184 8,456,368 16,912,736 33,825,472

Collatz Trajectory (82 steps to reach 1)

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

33,825,472 16,912,736 8,456,368 4,228,184 2,114,092 1,057,046 528,523 1,585,570 792,785 2,378,356 1,189,178 594,589 1,783,768 891,884 445,942 222,971 668,914 334,457 1,003,372 501,686 250,843 752,530 376,265 1,128,796 564,398 282,199 846,598 423,299 1,269,898 634,949 1,904,848 952,424 476,212 238,106 119,053 357,160 178,580 89,290 44,645 133,936 66,968 33,484 16,742 8,371 25,114 12,557 37,672 18,836 9,418 4,709 14,128 7,064 3,532 1,766 883 2,650 1,325 3,976 1,988 994

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