9,562,840

2³ × 5 × 7³ × 17 × 41

Prime Factor Structure

Factorization String 2^3 × 5 × 7^3 × 17 × 41

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 27,216,000

Proper Divisor Sum 17,653,160

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #9562831 ← → #9562841

Radix Representation

Decimal	9562840
Binary	100100011110101011011000 (24 bits)
Octal	0o44365330
Hexadecimal	0x91EAD8

Divisor Catalog (60 of 128)

1 2 4 5 7 8 10 14 17 20 28 34 35 40 41 49 56 68 70 82 85 98 119 136 140 164 170 196 205 238 245 280 287 328 340 343 392 410 476 490 574 595 680 686 697 820 833 952 980 1,148 1,190 1,372 1,394 1,435 1,640 1,666 1,715 1,960 2,009 2,296

Collatz Trajectory (145 steps to reach 1)

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

9,562,840 4,781,420 2,390,710 1,195,355 3,586,066 1,793,033 5,379,100 2,689,550 1,344,775 4,034,326 2,017,163 6,051,490 3,025,745 9,077,236 4,538,618 2,269,309 6,807,928 3,403,964 1,701,982 850,991 2,552,974 1,276,487 3,829,462 1,914,731 5,744,194 2,872,097 8,616,292 4,308,146 2,154,073 6,462,220 3,231,110 1,615,555 4,846,666 2,423,333 7,270,000 3,635,000 1,817,500 908,750 454,375 1,363,126 681,563 2,044,690 1,022,345 3,067,036 1,533,518 766,759 2,300,278 1,150,139 3,450,418 1,725,209 5,175,628 2,587,814 1,293,907 3,881,722 1,940,861 5,822,584 2,911,292 1,455,646 727,823 2,183,470

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