λ
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Atlas › Integer Profiles › Node 33,388,480

33,388,480

26 × 5 × 103 × 1013
Abundant Even Composite

33,388,480 factors as 2^6 × 5 × 103 × 1013. Its 56 positive divisors give a proper-divisor sum of 46,968,992, so this integer is abundant. The Collatz stopping time is 338 steps.

Prime Factor Structure

Factorization String 2^6 × 5 × 103 × 1013
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 80,357,472
Proper Divisor Sum 46,968,992
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #33388469 ← → #33388489

Radix Representation

Decimal 33388480
Binary 1111111010111011111000000 (25 bits)
Octal 0o177273700
Hexadecimal 0x1FD77C0

Divisor Catalog (56)

1 2 4 5 8 10 16 20 32 40 64 80 103 160 206 320 412 515 824 1,013 1,030 1,648 2,026 2,060 3,296 4,052 4,120 5,065 6,592 8,104 8,240 10,130 16,208 16,480 20,260 32,416 32,960 40,520 64,832 81,040 104,339 162,080 208,678 324,160 417,356 521,695 834,712 1,043,390 1,669,424 2,086,780 3,338,848 4,173,560 6,677,696 8,347,120 16,694,240 33,388,480

Collatz Trajectory (338 steps to reach 1)

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

33,388,480 16,694,240 8,347,120 4,173,560 2,086,780 1,043,390 521,695 1,565,086 782,543 2,347,630 1,173,815 3,521,446 1,760,723 5,282,170 2,641,085 7,923,256 3,961,628 1,980,814 990,407 2,971,222 1,485,611 4,456,834 2,228,417 6,685,252 3,342,626 1,671,313 5,013,940 2,506,970 1,253,485 3,760,456 1,880,228 940,114 470,057 1,410,172 705,086 352,543 1,057,630 528,815 1,586,446 793,223 2,379,670 1,189,835 3,569,506 1,784,753 5,354,260 2,677,130 1,338,565 4,015,696 2,007,848 1,003,924 501,962 250,981 752,944 376,472 188,236 94,118 47,059 141,178 70,589 211,768

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