λ
Ratio Atlas

84,192,567

3 × 53 × 529513
Deficient Odd Composite

84,192,567 factors as 3 × 53 × 529513. Its 8 positive divisors give a proper-divisor sum of 30,182,457, so this integer is deficient. The Collatz stopping time is 179 steps.

Prime Factor Structure

Factorization String 3 × 53 × 529513
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 114,375,024
Proper Divisor Sum 30,182,457
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #84192533 ← → #84192569

Radix Representation

Decimal 84192567
Binary 101000001001010110100110111 (27 bits)
Octal 0o501126467
Hexadecimal 0x504AD37

Divisor Catalog (8)

Collatz Trajectory (179 steps to reach 1)

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

84,192,567 252,577,702 126,288,851 378,866,554 189,433,277 568,299,832 284,149,916 142,074,958 71,037,479 213,112,438 106,556,219 319,668,658 159,834,329 479,502,988 239,751,494 119,875,747 359,627,242 179,813,621 539,440,864 269,720,432 134,860,216 67,430,108 33,715,054 16,857,527 50,572,582 25,286,291 75,858,874 37,929,437 113,788,312 56,894,156 28,447,078 14,223,539 42,670,618 21,335,309 64,005,928 32,002,964 16,001,482 8,000,741 24,002,224 12,001,112 6,000,556 3,000,278 1,500,139 4,500,418 2,250,209 6,750,628 3,375,314 1,687,657 5,062,972 2,531,486 1,265,743 3,797,230 1,898,615 5,695,846 2,847,923 8,543,770 4,271,885 12,815,656 6,407,828 3,203,914

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #84,192,566 Browse Full Index Next Integer #84,192,568 →