λ
Integer Codex

4,737,217

4737217
Deficient Odd Prime

For 4,737,217, the 2 positive divisors have a total of 4,737,218. Removing 4,737,217 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 4737217
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 4,737,218
Proper Divisor Sum 1
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #4737163 ← → #4737223

Radix Representation

Decimal 4737217
Binary 10010000100100011000001 (23 bits)
Octal 0o22044301
Hexadecimal 0x4848C1

Divisor Catalog (2)

Collatz Trajectory (193 steps to reach 1)

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

4,737,217 14,211,652 7,105,826 3,552,913 10,658,740 5,329,370 2,664,685 7,994,056 3,997,028 1,998,514 999,257 2,997,772 1,498,886 749,443 2,248,330 1,124,165 3,372,496 1,686,248 843,124 421,562 210,781 632,344 316,172 158,086 79,043 237,130 118,565 355,696 177,848 88,924 44,462 22,231 66,694 33,347 100,042 50,021 150,064 75,032 37,516 18,758 9,379 28,138 14,069 42,208 21,104 10,552 5,276 2,638 1,319 3,958 1,979 5,938 2,969 8,908 4,454 2,227 6,682 3,341 10,024 5,012

More profiles

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