λ
Prime Ledger

7,800,377

13 × 37 × 16217
Deficient Odd Composite

7,800,377 has the prime decomposition 13 × 37 × 16217. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 13 × 37 × 16217
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,627,976
Proper Divisor Sum 827,599
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #7800371 ← → #7800383

Radix Representation

Decimal 7800377
Binary 11101110000011000111001 (23 bits)
Octal 0o35603071
Hexadecimal 0x770639

Divisor Catalog (8)

1 13 37 481 16,217 210,821 600,029 7,800,377

Collatz Trajectory (155 steps to reach 1)

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

7,800,377 23,401,132 11,700,566 5,850,283 17,550,850 8,775,425 26,326,276 13,163,138 6,581,569 19,744,708 9,872,354 4,936,177 14,808,532 7,404,266 3,702,133 11,106,400 5,553,200 2,776,600 1,388,300 694,150 347,075 1,041,226 520,613 1,561,840 780,920 390,460 195,230 97,615 292,846 146,423 439,270 219,635 658,906 329,453 988,360 494,180 247,090 123,545 370,636 185,318 92,659 277,978 138,989 416,968 208,484 104,242 52,121 156,364 78,182 39,091 117,274 58,637 175,912 87,956 43,978 21,989 65,968 32,984 16,492 8,246

More profiles

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