λ
Prime Ledger

8,525,295

32 × 5 × 23 × 8237
Deficient Odd Composite

8,525,295 has the prime decomposition 3^2 × 5 × 23 × 8237. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 23 × 8237
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 15,421,536
Proper Divisor Sum 6,896,241
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8525291 ← → #8525329

Radix Representation

Decimal 8525295
Binary 100000100001010111101111 (24 bits)
Octal 0o40412757
Hexadecimal 0x8215EF

Divisor Catalog (24)

1 3 5 9 15 23 45 69 115 207 345 1,035 8,237 24,711 41,185 74,133 123,555 189,451 370,665 568,353 947,255 1,705,059 2,841,765 8,525,295

Collatz Trajectory (199 steps to reach 1)

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

8,525,295 25,575,886 12,787,943 38,363,830 19,181,915 57,545,746 28,772,873 86,318,620 43,159,310 21,579,655 64,738,966 32,369,483 97,108,450 48,554,225 145,662,676 72,831,338 36,415,669 109,247,008 54,623,504 27,311,752 13,655,876 6,827,938 3,413,969 10,241,908 5,120,954 2,560,477 7,681,432 3,840,716 1,920,358 960,179 2,880,538 1,440,269 4,320,808 2,160,404 1,080,202 540,101 1,620,304 810,152 405,076 202,538 101,269 303,808 151,904 75,952 37,976 18,988 9,494 4,747 14,242 7,121 21,364 10,682 5,341 16,024 8,012 4,006 2,003 6,010 3,005 9,016

More profiles

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