λ
Prime Ledger

7,316,516

22 × 97 × 109 × 173
Deficient Even Composite

7,316,516 has the prime decomposition 2^2 × 97 × 109 × 173. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 97 × 109 × 173
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 13,130,040
Proper Divisor Sum 5,813,524
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #7316513 ← → #7316521

Radix Representation

Decimal 7316516
Binary 11011111010010000100100 (23 bits)
Octal 0o33722044
Hexadecimal 0x6FA424

Divisor Catalog (24)

1 2 4 97 109 173 194 218 346 388 436 692 10,573 16,781 18,857 21,146 33,562 37,714 42,292 67,124 75,428 1,829,129 3,658,258 7,316,516

Collatz Trajectory (204 steps to reach 1)

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

7,316,516 3,658,258 1,829,129 5,487,388 2,743,694 1,371,847 4,115,542 2,057,771 6,173,314 3,086,657 9,259,972 4,629,986 2,314,993 6,944,980 3,472,490 1,736,245 5,208,736 2,604,368 1,302,184 651,092 325,546 162,773 488,320 244,160 122,080 61,040 30,520 15,260 7,630 3,815 11,446 5,723 17,170 8,585 25,756 12,878 6,439 19,318 9,659 28,978 14,489 43,468 21,734 10,867 32,602 16,301 48,904 24,452 12,226 6,113 18,340 9,170 4,585 13,756 6,878 3,439 10,318 5,159 15,478 7,739

More profiles

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