λ
Math Directory

236,553

3 × 29 × 2719
Deficient Odd Composite

236,553 factors as 3 × 29 × 2719. Its 8 positive divisors give a proper-divisor sum of 89,847, so this integer is deficient. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 3 × 29 × 2719
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 326,400
Proper Divisor Sum 89,847
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #236549 ← → #236563

Radix Representation

Decimal 236553
Binary 111001110000001001 (18 bits)
Octal 0o716011
Hexadecimal 0x39C09

Divisor Catalog (8)

1 3 29 87 2,719 8,157 78,851 236,553

Collatz Trajectory (124 steps to reach 1)

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

236,553 709,660 354,830 177,415 532,246 266,123 798,370 399,185 1,197,556 598,778 299,389 898,168 449,084 224,542 112,271 336,814 168,407 505,222 252,611 757,834 378,917 1,136,752 568,376 284,188 142,094 71,047 213,142 106,571 319,714 159,857 479,572 239,786 119,893 359,680 179,840 89,920 44,960 22,480 11,240 5,620 2,810 1,405 4,216 2,108 1,054 527 1,582 791 2,374 1,187 3,562 1,781 5,344 2,672 1,336 668 334 167 502 251

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