λ
Prime Ledger

3,546,338

2 × 31 × 47 × 1217
Deficient Even Composite

3,546,338 has the prime decomposition 2 × 31 × 47 × 1217. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 31 × 47 × 1217
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,612,544
Proper Divisor Sum 2,066,206
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3546311 ← → #3546371

Radix Representation

Decimal 3546338
Binary 1101100001110011100010 (22 bits)
Octal 0o15416342
Hexadecimal 0x361CE2

Divisor Catalog (16)

1 2 31 47 62 94 1,217 1,457 2,434 2,914 37,727 57,199 75,454 114,398 1,773,169 3,546,338

Collatz Trajectory (97 steps to reach 1)

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

3,546,338 1,773,169 5,319,508 2,659,754 1,329,877 3,989,632 1,994,816 997,408 498,704 249,352 124,676 62,338 31,169 93,508 46,754 23,377 70,132 35,066 17,533 52,600 26,300 13,150 6,575 19,726 9,863 29,590 14,795 44,386 22,193 66,580 33,290 16,645 49,936 24,968 12,484 6,242 3,121 9,364 4,682 2,341 7,024 3,512 1,756 878 439 1,318 659 1,978 989 2,968 1,484 742 371 1,114 557 1,672 836 418 209 628

More profiles

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