λ
Sigma Notebook

9,623,306

2 × 72 × 11 × 79 × 113
Deficient Even Composite

9,623,306 is even and not a perfect square. Its factorization is 2 × 7^2 × 11 × 79 × 113 and its 48 divisors sum to 18,714,240.

Prime Factor Structure

Factorization String 2 × 7^2 × 11 × 79 × 113
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 18,714,240
Proper Divisor Sum 9,090,934
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #9623287 ← → #9623311

Radix Representation

Decimal 9623306
Binary 100100101101011100001010 (24 bits)
Octal 0o44553412
Hexadecimal 0x92D70A

Divisor Catalog (48)

1 2 7 11 14 22 49 77 79 98 113 154 158 226 539 553 791 869 1,078 1,106 1,243 1,582 1,738 2,486 3,871 5,537 6,083 7,742 8,701 8,927 11,074 12,166 17,402 17,854 42,581 60,907 62,489 85,162 98,197 121,814 124,978 196,394 437,423 687,379 874,846 1,374,758 4,811,653 9,623,306

Collatz Trajectory (176 steps to reach 1)

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

9,623,306 4,811,653 14,434,960 7,217,480 3,608,740 1,804,370 902,185 2,706,556 1,353,278 676,639 2,029,918 1,014,959 3,044,878 1,522,439 4,567,318 2,283,659 6,850,978 3,425,489 10,276,468 5,138,234 2,569,117 7,707,352 3,853,676 1,926,838 963,419 2,890,258 1,445,129 4,335,388 2,167,694 1,083,847 3,251,542 1,625,771 4,877,314 2,438,657 7,315,972 3,657,986 1,828,993 5,486,980 2,743,490 1,371,745 4,115,236 2,057,618 1,028,809 3,086,428 1,543,214 771,607 2,314,822 1,157,411 3,472,234 1,736,117 5,208,352 2,604,176 1,302,088 651,044 325,522 162,761 488,284 244,142 122,071 366,214

More profiles

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