213,531

3 × 109 × 653

213,531 has digital root 6. The neighboring primes are 213523 and 213533; its proper-divisor sum differs from the starting integer by -139,302.

Prime Factor Structure

Factorization String 3 × 109 × 653

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 287,760

Proper Divisor Sum 74,229

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #213523 ← → #213533

Radix Representation

Decimal	213531
Binary	110100001000011011 (18 bits)
Octal	0o641033
Hexadecimal	0x3421B

Divisor Catalog (8)

1 3 109 327 653 1,959 71,177 213,531

Collatz Trajectory (173 steps to reach 1)

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

213,531 640,594 320,297 960,892 480,446 240,223 720,670 360,335 1,081,006 540,503 1,621,510 810,755 2,432,266 1,216,133 3,648,400 1,824,200 912,100 456,050 228,025 684,076 342,038 171,019 513,058 256,529 769,588 384,794 192,397 577,192 288,596 144,298 72,149 216,448 108,224 54,112 27,056 13,528 6,764 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711 8,134

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