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Atlas › Integer Profiles › Node 33,707,680

33,707,680

25 × 5 × 191 × 1103
Abundant Even Composite

33,707,680 factors as 2^5 × 5 × 191 × 1103. Its 48 positive divisors give a proper-divisor sum of 46,416,224, so this integer is abundant. The Collatz stopping time is 276 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 191 × 1103
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 80,123,904
Proper Divisor Sum 46,416,224
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #33707647 ← → #33707689

Radix Representation

Decimal 33707680
Binary 10000000100101011010100000 (26 bits)
Octal 0o200453240
Hexadecimal 0x20256A0

Divisor Catalog (48)

1 2 4 5 8 10 16 20 32 40 80 160 191 382 764 955 1,103 1,528 1,910 2,206 3,056 3,820 4,412 5,515 6,112 7,640 8,824 11,030 15,280 17,648 22,060 30,560 35,296 44,120 88,240 176,480 210,673 421,346 842,692 1,053,365 1,685,384 2,106,730 3,370,768 4,213,460 6,741,536 8,426,920 16,853,840 33,707,680

Collatz Trajectory (276 steps to reach 1)

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

33,707,680 16,853,840 8,426,920 4,213,460 2,106,730 1,053,365 3,160,096 1,580,048 790,024 395,012 197,506 98,753 296,260 148,130 74,065 222,196 111,098 55,549 166,648 83,324 41,662 20,831 62,494 31,247 93,742 46,871 140,614 70,307 210,922 105,461 316,384 158,192 79,096 39,548 19,774 9,887 29,662 14,831 44,494 22,247 66,742 33,371 100,114 50,057 150,172 75,086 37,543 112,630 56,315 168,946 84,473 253,420 126,710 63,355 190,066 95,033 285,100 142,550 71,275 213,826

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