λ
Prime Ledger

275,704

23 × 11 × 13 × 241
Abundant Even Composite

275,704 has the prime decomposition 2^3 × 11 × 13 × 241. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 11 × 13 × 241
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 609,840
Proper Divisor Sum 334,136
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #275699 ← → #275711

Radix Representation

Decimal 275704
Binary 1000011010011111000 (19 bits)
Octal 0o1032370
Hexadecimal 0x434F8

Divisor Catalog (32)

1 2 4 8 11 13 22 26 44 52 88 104 143 241 286 482 572 964 1,144 1,928 2,651 3,133 5,302 6,266 10,604 12,532 21,208 25,064 34,463 68,926 137,852 275,704

Collatz Trajectory (88 steps to reach 1)

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

275,704 137,852 68,926 34,463 103,390 51,695 155,086 77,543 232,630 116,315 348,946 174,473 523,420 261,710 130,855 392,566 196,283 588,850 294,425 883,276 441,638 220,819 662,458 331,229 993,688 496,844 248,422 124,211 372,634 186,317 558,952 279,476 139,738 69,869 209,608 104,804 52,402 26,201 78,604 39,302 19,651 58,954 29,477 88,432 44,216 22,108 11,054 5,527 16,582 8,291 24,874 12,437 37,312 18,656 9,328 4,664 2,332 1,166 583 1,750

More profiles

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