λ
Prime Ledger

7,471,364

22 × 17 × 109873
Deficient Even Composite

7,471,364 has the prime decomposition 2^2 × 17 × 109873. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 17 × 109873
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 13,844,124
Proper Divisor Sum 6,372,760
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #7471361 ← → #7471367

Radix Representation

Decimal 7471364
Binary 11100100000000100000100 (23 bits)
Octal 0o34400404
Hexadecimal 0x720104

Divisor Catalog (12)

1 2 4 17 34 68 109,873 219,746 439,492 1,867,841 3,735,682 7,471,364

Collatz Trajectory (98 steps to reach 1)

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

7,471,364 3,735,682 1,867,841 5,603,524 2,801,762 1,400,881 4,202,644 2,101,322 1,050,661 3,151,984 1,575,992 787,996 393,998 196,999 590,998 295,499 886,498 443,249 1,329,748 664,874 332,437 997,312 498,656 249,328 124,664 62,332 31,166 15,583 46,750 23,375 70,126 35,063 105,190 52,595 157,786 78,893 236,680 118,340 59,170 29,585 88,756 44,378 22,189 66,568 33,284 16,642 8,321 24,964 12,482 6,241 18,724 9,362 4,681 14,044 7,022 3,511 10,534 5,267 15,802 7,901

More profiles

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