λ
Ratio Atlas
Atlas › Integer Profiles › Node 92,993,048

92,993,048

23 × 23 × 151 × 3347
Deficient Even Composite

92,993,048 factors as 2^3 × 23 × 151 × 3347. Its 32 positive divisors give a proper-divisor sum of 90,209,512, so this integer is deficient. The Collatz stopping time is 174 steps.

Prime Factor Structure

Factorization String 2^3 × 23 × 151 × 3347
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 183,202,560
Proper Divisor Sum 90,209,512
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #92993041 ← → #92993051

Radix Representation

Decimal 92993048
Binary 101100010101111011000011000 (27 bits)
Octal 0o542573030
Hexadecimal 0x58AF618

Divisor Catalog (32)

1 2 4 8 23 46 92 151 184 302 604 1,208 3,347 3,473 6,694 6,946 13,388 13,892 26,776 27,784 76,981 153,962 307,924 505,397 615,848 1,010,794 2,021,588 4,043,176 11,624,131 23,248,262 46,496,524 92,993,048

Collatz Trajectory (174 steps to reach 1)

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

92,993,048 46,496,524 23,248,262 11,624,131 34,872,394 17,436,197 52,308,592 26,154,296 13,077,148 6,538,574 3,269,287 9,807,862 4,903,931 14,711,794 7,355,897 22,067,692 11,033,846 5,516,923 16,550,770 8,275,385 24,826,156 12,413,078 6,206,539 18,619,618 9,309,809 27,929,428 13,964,714 6,982,357 20,947,072 10,473,536 5,236,768 2,618,384 1,309,192 654,596 327,298 163,649 490,948 245,474 122,737 368,212 184,106 92,053 276,160 138,080 69,040 34,520 17,260 8,630 4,315 12,946 6,473 19,420 9,710 4,855 14,566 7,283 21,850 10,925 32,776 16,388

More profiles

Browse other published profiles and their separate link collections.

Profile #8,342,168 Profile #1,146,956 Profile #9,712,347 Profile #6,573,969 Profile #965,653 Profile #4,620,983 Profile #853,259 Profile #1,288,150
← Previous Integer #92,993,047 Browse Full Index Next Integer #92,993,049 →