33,342,136

2³ × 4167767

33,342,136 factors as 2^3 × 4167767. Its 8 positive divisors give a proper-divisor sum of 29,174,384, so this integer is deficient. The Collatz stopping time is 113 steps.

Prime Factor Structure

Factorization String 2^3 × 4167767

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 62,516,520

Proper Divisor Sum 29,174,384

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #33342121 ← → #33342167

Radix Representation

Decimal	33342136
Binary	1111111001100001010111000 (25 bits)
Octal	0o177141270
Hexadecimal	0x1FCC2B8

Divisor Catalog (8)

1 2 4 8 4,167,767 8,335,534 16,671,068 33,342,136

Collatz Trajectory (113 steps to reach 1)

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

33,342,136 16,671,068 8,335,534 4,167,767 12,503,302 6,251,651 18,754,954 9,377,477 28,132,432 14,066,216 7,033,108 3,516,554 1,758,277 5,274,832 2,637,416 1,318,708 659,354 329,677 989,032 494,516 247,258 123,629 370,888 185,444 92,722 46,361 139,084 69,542 34,771 104,314 52,157 156,472 78,236 39,118 19,559 58,678 29,339 88,018 44,009 132,028 66,014 33,007 99,022 49,511 148,534 74,267 222,802 111,401 334,204 167,102 83,551 250,654 125,327 375,982 187,991 563,974 281,987 845,962 422,981 1,268,944

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