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Atlas › Integer Profiles › Node 33,672,400

33,672,400

24 × 52 × 84181
Abundant Even Composite

33,672,400 factors as 2^4 × 5^2 × 84181. Its 30 positive divisors give a proper-divisor sum of 47,226,502, so this integer is abundant. The Collatz stopping time is 170 steps.

Prime Factor Structure

Factorization String 2^4 × 5^2 × 84181
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 80,898,902
Proper Divisor Sum 47,226,502
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #33672383 ← → #33672473

Radix Representation

Decimal 33672400
Binary 10000000011100110011010000 (26 bits)
Octal 0o200346320
Hexadecimal 0x201CCD0

Divisor Catalog (30)

1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 84,181 168,362 336,724 420,905 673,448 841,810 1,346,896 1,683,620 2,104,525 3,367,240 4,209,050 6,734,480 8,418,100 16,836,200 33,672,400

Collatz Trajectory (170 steps to reach 1)

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

33,672,400 16,836,200 8,418,100 4,209,050 2,104,525 6,313,576 3,156,788 1,578,394 789,197 2,367,592 1,183,796 591,898 295,949 887,848 443,924 221,962 110,981 332,944 166,472 83,236 41,618 20,809 62,428 31,214 15,607 46,822 23,411 70,234 35,117 105,352 52,676 26,338 13,169 39,508 19,754 9,877 29,632 14,816 7,408 3,704 1,852 926 463 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992

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