135,531

3² × 11 × 37²

For 135,531, the 18 positive divisors have a total of 219,492. Removing 135,531 leaves 83,961, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 11 × 37^2

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 219,492

Proper Divisor Sum 83,961

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #135511 ← → #135533

Radix Representation

Decimal	135531
Binary	100001000101101011 (18 bits)
Octal	0o410553
Hexadecimal	0x2116B

Divisor Catalog (18)

1 3 9 11 33 37 99 111 333 407 1,221 1,369 3,663 4,107 12,321 15,059 45,177 135,531

Collatz Trajectory (113 steps to reach 1)

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

135,531 406,594 203,297 609,892 304,946 152,473 457,420 228,710 114,355 343,066 171,533 514,600 257,300 128,650 64,325 192,976 96,488 48,244 24,122 12,061 36,184 18,092 9,046 4,523 13,570 6,785 20,356 10,178 5,089 15,268 7,634 3,817 11,452 5,726 2,863 8,590 4,295 12,886 6,443 19,330 9,665 28,996 14,498 7,249 21,748 10,874 5,437 16,312 8,156 4,078 2,039 6,118 3,059 9,178 4,589 13,768 6,884 3,442 1,721 5,164

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