9,713,340

2² × 3² × 5 × 7 × 13 × 593

9,713,340 factors as 2^2 × 3^2 × 5 × 7 × 13 × 593. Its 144 positive divisors give a proper-divisor sum of 26,610,948, so this integer is abundant. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 7 × 13 × 593

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 36,324,288

Proper Divisor Sum 26,610,948

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #9713339 ← → #9713359

Radix Representation

Decimal	9713340
Binary	100101000011011010111100 (24 bits)
Octal	0o45033274
Hexadecimal	0x9436BC

Divisor Catalog (60 of 144)

1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 26 28 30 35 36 39 42 45 52 60 63 65 70 78 84 90 91 105 117 126 130 140 156 180 182 195 210 234 252 260 273 315 364 390 420 455 468 546 585 593 630 780 819 910

Collatz Trajectory (163 steps to reach 1)

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

9,713,340 4,856,670 2,428,335 7,285,006 3,642,503 10,927,510 5,463,755 16,391,266 8,195,633 24,586,900 12,293,450 6,146,725 18,440,176 9,220,088 4,610,044 2,305,022 1,152,511 3,457,534 1,728,767 5,186,302 2,593,151 7,779,454 3,889,727 11,669,182 5,834,591 17,503,774 8,751,887 26,255,662 13,127,831 39,383,494 19,691,747 59,075,242 29,537,621 88,612,864 44,306,432 22,153,216 11,076,608 5,538,304 2,769,152 1,384,576 692,288 346,144 173,072 86,536 43,268 21,634 10,817 32,452 16,226 8,113 24,340 12,170 6,085 18,256 9,128 4,564 2,282 1,141 3,424 1,712

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