33,722,992

2⁴ × 41 × 51407

33,722,992 factors as 2^4 × 41 × 51407. Its 20 positive divisors give a proper-divisor sum of 33,210,224, so this integer is deficient. The Collatz stopping time is 338 steps.

Prime Factor Structure

Factorization String 2^4 × 41 × 51407

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 66,933,216

Proper Divisor Sum 33,210,224

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #33722989 ← → #33722993

Radix Representation

Decimal	33722992
Binary	10000000101001001001110000 (26 bits)
Octal	0o200511160
Hexadecimal	0x2029270

Divisor Catalog (20)

Collatz Trajectory (338 steps to reach 1)

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

33,722,992 16,861,496 8,430,748 4,215,374 2,107,687 6,323,062 3,161,531 9,484,594 4,742,297 14,226,892 7,113,446 3,556,723 10,670,170 5,335,085 16,005,256 8,002,628 4,001,314 2,000,657 6,001,972 3,000,986 1,500,493 4,501,480 2,250,740 1,125,370 562,685 1,688,056 844,028 422,014 211,007 633,022 316,511 949,534 474,767 1,424,302 712,151 2,136,454 1,068,227 3,204,682 1,602,341 4,807,024 2,403,512 1,201,756 600,878 300,439 901,318 450,659 1,351,978 675,989 2,027,968 1,013,984 506,992 253,496 126,748 63,374 31,687 95,062 47,531 142,594 71,297 213,892

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