33,366,207

3 × 7² × 61³

33,366,207 factors as 3 × 7^2 × 61^3. Its 24 positive divisors give a proper-divisor sum of 19,247,985, so this integer is deficient. The Collatz stopping time is 139 steps.

Prime Factor Structure

Factorization String 3 × 7^2 × 61^3

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 52,614,192

Proper Divisor Sum 19,247,985

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #33366197 ← → #33366217

Radix Representation

Decimal	33366207
Binary	1111111010010000010111111 (25 bits)
Octal	0o177220277
Hexadecimal	0x1FD20BF

Divisor Catalog (24)

Collatz Trajectory (139 steps to reach 1)

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

33,366,207 100,098,622 50,049,311 150,147,934 75,073,967 225,221,902 112,610,951 337,832,854 168,916,427 506,749,282 253,374,641 760,123,924 380,061,962 190,030,981 570,092,944 285,046,472 142,523,236 71,261,618 35,630,809 106,892,428 53,446,214 26,723,107 80,169,322 40,084,661 120,253,984 60,126,992 30,063,496 15,031,748 7,515,874 3,757,937 11,273,812 5,636,906 2,818,453 8,455,360 4,227,680 2,113,840 1,056,920 528,460 264,230 132,115 396,346 198,173 594,520 297,260 148,630 74,315 222,946 111,473 334,420 167,210 83,605 250,816 125,408 62,704 31,352 15,676 7,838 3,919 11,758 5,879

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