λ
Prime Ledger

972,425

52 × 97 × 401
Deficient Odd Composite

972,425 has the prime decomposition 5^2 × 97 × 401. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 97 × 401
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 1,221,276
Proper Divisor Sum 248,851
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #972409 ← → #972427

Radix Representation

Decimal 972425
Binary 11101101011010001001 (20 bits)
Octal 0o3553211
Hexadecimal 0xED689

Divisor Catalog (12)

1 5 25 97 401 485 2,005 2,425 10,025 38,897 194,485 972,425

Collatz Trajectory (245 steps to reach 1)

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

972,425 2,917,276 1,458,638 729,319 2,187,958 1,093,979 3,281,938 1,640,969 4,922,908 2,461,454 1,230,727 3,692,182 1,846,091 5,538,274 2,769,137 8,307,412 4,153,706 2,076,853 6,230,560 3,115,280 1,557,640 778,820 389,410 194,705 584,116 292,058 146,029 438,088 219,044 109,522 54,761 164,284 82,142 41,071 123,214 61,607 184,822 92,411 277,234 138,617 415,852 207,926 103,963 311,890 155,945 467,836 233,918 116,959 350,878 175,439 526,318 263,159 789,478 394,739 1,184,218 592,109 1,776,328 888,164 444,082 222,041

More profiles

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