λ
Prime Ledger

4,707,975

3 × 52 × 62773
Deficient Odd Composite

4,707,975 has the prime decomposition 3 × 5^2 × 62773. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3 × 5^2 × 62773
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 7,783,976
Proper Divisor Sum 3,076,001
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #4707973 ← → #4707977

Radix Representation

Decimal 4707975
Binary 10001111101011010000111 (23 bits)
Octal 0o21753207
Hexadecimal 0x47D687

Divisor Catalog (12)

1 3 5 15 25 75 62,773 188,319 313,865 941,595 1,569,325 4,707,975

Collatz Trajectory (131 steps to reach 1)

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

4,707,975 14,123,926 7,061,963 21,185,890 10,592,945 31,778,836 15,889,418 7,944,709 23,834,128 11,917,064 5,958,532 2,979,266 1,489,633 4,468,900 2,234,450 1,117,225 3,351,676 1,675,838 837,919 2,513,758 1,256,879 3,770,638 1,885,319 5,655,958 2,827,979 8,483,938 4,241,969 12,725,908 6,362,954 3,181,477 9,544,432 4,772,216 2,386,108 1,193,054 596,527 1,789,582 894,791 2,684,374 1,342,187 4,026,562 2,013,281 6,039,844 3,019,922 1,509,961 4,529,884 2,264,942 1,132,471 3,397,414 1,698,707 5,096,122 2,548,061 7,644,184 3,822,092 1,911,046 955,523 2,866,570 1,433,285 4,299,856 2,149,928 1,074,964

More profiles

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