λ
Prime Ledger

702,788

22 × 23 × 7639
Deficient Even Composite

702,788 has the prime decomposition 2^2 × 23 × 7639. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 23 × 7639
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 1,283,520
Proper Divisor Sum 580,732
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #702787 ← → #702803

Radix Representation

Decimal 702788
Binary 10101011100101000100 (20 bits)
Octal 0o2534504
Hexadecimal 0xAB944

Divisor Catalog (12)

1 2 4 23 46 92 7,639 15,278 30,556 175,697 351,394 702,788

Collatz Trajectory (154 steps to reach 1)

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

702,788 351,394 175,697 527,092 263,546 131,773 395,320 197,660 98,830 49,415 148,246 74,123 222,370 111,185 333,556 166,778 83,389 250,168 125,084 62,542 31,271 93,814 46,907 140,722 70,361 211,084 105,542 52,771 158,314 79,157 237,472 118,736 59,368 29,684 14,842 7,421 22,264 11,132 5,566 2,783 8,350 4,175 12,526 6,263 18,790 9,395 28,186 14,093 42,280 21,140 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487 4,462

More profiles

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