33,488,667

3³ × 23 × 53927

33,488,667 factors as 3^3 × 23 × 53927. Its 16 positive divisors give a proper-divisor sum of 18,282,213, so this integer is deficient. The Collatz stopping time is 307 steps.

Prime Factor Structure

Factorization String 3^3 × 23 × 53927

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 51,770,880

Proper Divisor Sum 18,282,213

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #33488647 ← → #33488669

Radix Representation

Decimal	33488667
Binary	1111111101111111100011011 (25 bits)
Octal	0o177577433
Hexadecimal	0x1FEFF1B

Divisor Catalog (16)

1 3 9 23 27 69 207 621 53,927 161,781 485,343 1,240,321 1,456,029 3,720,963 11,162,889 33,488,667

Collatz Trajectory (307 steps to reach 1)

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

33,488,667 100,466,002 50,233,001 150,699,004 75,349,502 37,674,751 113,024,254 56,512,127 169,536,382 84,768,191 254,304,574 127,152,287 381,456,862 190,728,431 572,185,294 286,092,647 858,277,942 429,138,971 1,287,416,914 643,708,457 1,931,125,372 965,562,686 482,781,343 1,448,344,030 724,172,015 2,172,516,046 1,086,258,023 3,258,774,070 1,629,387,035 4,888,161,106 2,444,080,553 7,332,241,660 3,666,120,830 1,833,060,415 5,499,181,246 2,749,590,623 8,248,771,870 4,124,385,935 12,373,157,806 6,186,578,903 18,559,736,710 9,279,868,355 27,839,605,066 13,919,802,533 41,759,407,600 20,879,703,800 10,439,851,900 5,219,925,950 2,609,962,975 7,829,888,926 3,914,944,463 11,744,833,390 5,872,416,695 17,617,250,086 8,808,625,043 26,425,875,130 13,212,937,565 39,638,812,696 19,819,406,348 9,909,703,174

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