λ
Ratio Atlas

33,439,740

22 × 3 × 5 × 557329
Abundant Even Composite

33,439,740 factors as 2^2 × 3 × 5 × 557329. Its 24 positive divisors give a proper-divisor sum of 60,191,700, so this integer is abundant. The Collatz stopping time is 188 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 557329
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 93,631,440
Proper Divisor Sum 60,191,700
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #33439733 ← → #33439741

Radix Representation

Decimal 33439740
Binary 1111111100011111111111100 (25 bits)
Octal 0o177437774
Hexadecimal 0x1FE3FFC

Divisor Catalog (24)

Collatz Trajectory (188 steps to reach 1)

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

33,439,740 16,719,870 8,359,935 25,079,806 12,539,903 37,619,710 18,809,855 56,429,566 28,214,783 84,644,350 42,322,175 126,966,526 63,483,263 190,449,790 95,224,895 285,674,686 142,837,343 428,512,030 214,256,015 642,768,046 321,384,023 964,152,070 482,076,035 1,446,228,106 723,114,053 2,169,342,160 1,084,671,080 542,335,540 271,167,770 135,583,885 406,751,656 203,375,828 101,687,914 50,843,957 152,531,872 76,265,936 38,132,968 19,066,484 9,533,242 4,766,621 14,299,864 7,149,932 3,574,966 1,787,483 5,362,450 2,681,225 8,043,676 4,021,838 2,010,919 6,032,758 3,016,379 9,049,138 4,524,569 13,573,708 6,786,854 3,393,427 10,180,282 5,090,141 15,270,424 7,635,212

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