533,967

3 × 7 × 47 × 541

533,967 factors as 3 × 7 × 47 × 541. Its 16 positive divisors give a proper-divisor sum of 298,545, so this integer is deficient. The Collatz stopping time is 239 steps.

Prime Factor Structure

Factorization String 3 × 7 × 47 × 541

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 832,512

Proper Divisor Sum 298,545

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #533963 ← → #533969

Radix Representation

Decimal	533967
Binary	10000010010111001111 (20 bits)
Octal	0o2022717
Hexadecimal	0x825CF

Divisor Catalog (16)

1 3 7 21 47 141 329 541 987 1,623 3,787 11,361 25,427 76,281 177,989 533,967

Collatz Trajectory (239 steps to reach 1)

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

533,967 1,601,902 800,951 2,402,854 1,201,427 3,604,282 1,802,141 5,406,424 2,703,212 1,351,606 675,803 2,027,410 1,013,705 3,041,116 1,520,558 760,279 2,280,838 1,140,419 3,421,258 1,710,629 5,131,888 2,565,944 1,282,972 641,486 320,743 962,230 481,115 1,443,346 721,673 2,165,020 1,082,510 541,255 1,623,766 811,883 2,435,650 1,217,825 3,653,476 1,826,738 913,369 2,740,108 1,370,054 685,027 2,055,082 1,027,541 3,082,624 1,541,312 770,656 385,328 192,664 96,332 48,166 24,083 72,250 36,125 108,376 54,188 27,094 13,547 40,642 20,321

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