λ
Prime Ledger

7,364,149

13 × 109 × 5197
Deficient Odd Composite

7,364,149 has the prime decomposition 13 × 109 × 5197. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 13 × 109 × 5197
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,004,920
Proper Divisor Sum 640,771
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7364141 ← → #7364219

Radix Representation

Decimal 7364149
Binary 11100000101111000110101 (23 bits)
Octal 0o34057065
Hexadecimal 0x705E35

Divisor Catalog (8)

1 13 109 1,417 5,197 67,561 566,473 7,364,149

Collatz Trajectory (80 steps to reach 1)

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

7,364,149 22,092,448 11,046,224 5,523,112 2,761,556 1,380,778 690,389 2,071,168 1,035,584 517,792 258,896 129,448 64,724 32,362 16,181 48,544 24,272 12,136 6,068 3,034 1,517 4,552 2,276 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37

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