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Atlas › Integer Profiles › Node 2,964,033

2,964,033

34 × 23 × 37 × 43
Deficient Odd Composite

2,964,033 factors as 3^4 × 23 × 37 × 43. Its 40 positive divisors give a proper-divisor sum of 1,891,455, so this integer is deficient. The Collatz stopping time is 182 steps.

Prime Factor Structure

Factorization String 3^4 × 23 × 37 × 43
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 4,855,488
Proper Divisor Sum 1,891,455
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2964011 ← → #2964041

Radix Representation

Decimal 2964033
Binary 1011010011101001000001 (22 bits)
Octal 0o13235101
Hexadecimal 0x2D3A41

Divisor Catalog (40)

1 3 9 23 27 37 43 69 81 111 129 207 333 387 621 851 989 999 1,161 1,591 1,863 2,553 2,967 2,997 3,483 4,773 7,659 8,901 14,319 22,977 26,703 36,593 42,957 68,931 80,109 109,779 128,871 329,337 988,011 2,964,033

Collatz Trajectory (182 steps to reach 1)

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

2,964,033 8,892,100 4,446,050 2,223,025 6,669,076 3,334,538 1,667,269 5,001,808 2,500,904 1,250,452 625,226 312,613 937,840 468,920 234,460 117,230 58,615 175,846 87,923 263,770 131,885 395,656 197,828 98,914 49,457 148,372 74,186 37,093 111,280 55,640 27,820 13,910 6,955 20,866 10,433 31,300 15,650 7,825 23,476 11,738 5,869 17,608 8,804 4,402 2,201 6,604 3,302 1,651 4,954 2,477 7,432 3,716 1,858 929 2,788 1,394 697 2,092 1,046 523

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