9,709,533

3² × 17² × 3733

9,709,533 factors as 3^2 × 17^2 × 3733. Its 18 positive divisors give a proper-divisor sum of 5,192,861, so this integer is deficient. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 3^2 × 17^2 × 3733

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 14,902,394

Proper Divisor Sum 5,192,861

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9709517 ← → #9709537

Radix Representation

Decimal	9709533
Binary	100101000010011111011101 (24 bits)
Octal	0o45023735
Hexadecimal	0x9427DD

Divisor Catalog (18)

1 3 9 17 51 153 289 867 2,601 3,733 11,199 33,597 63,461 190,383 571,149 1,078,837 3,236,511 9,709,533

Collatz Trajectory (114 steps to reach 1)

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

9,709,533 29,128,600 14,564,300 7,282,150 3,641,075 10,923,226 5,461,613 16,384,840 8,192,420 4,096,210 2,048,105 6,144,316 3,072,158 1,536,079 4,608,238 2,304,119 6,912,358 3,456,179 10,368,538 5,184,269 15,552,808 7,776,404 3,888,202 1,944,101 5,832,304 2,916,152 1,458,076 729,038 364,519 1,093,558 546,779 1,640,338 820,169 2,460,508 1,230,254 615,127 1,845,382 922,691 2,768,074 1,384,037 4,152,112 2,076,056 1,038,028 519,014 259,507 778,522 389,261 1,167,784 583,892 291,946 145,973 437,920 218,960 109,480 54,740 27,370 13,685 41,056 20,528 10,264

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