λ
Harmonic Matrix

9,621,304

23 × 7 × 11 × 15619
Abundant Even Composite

9,621,304 has digital root 7. The neighboring primes are 9621263 and 9621317; its proper-divisor sum differs from the starting integer by 3,250,192.

Prime Factor Structure

Factorization String 2^3 × 7 × 11 × 15619
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 22,492,800
Proper Divisor Sum 12,871,496
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #9621263 ← → #9621317

Radix Representation

Decimal 9621304
Binary 100100101100111100111000 (24 bits)
Octal 0o44547470
Hexadecimal 0x92CF38

Divisor Catalog (32)

1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 15,619 31,238 62,476 109,333 124,952 171,809 218,666 343,618 437,332 687,236 874,664 1,202,663 1,374,472 2,405,326 4,810,652 9,621,304

Collatz Trajectory (176 steps to reach 1)

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

9,621,304 4,810,652 2,405,326 1,202,663 3,607,990 1,803,995 5,411,986 2,705,993 8,117,980 4,058,990 2,029,495 6,088,486 3,044,243 9,132,730 4,566,365 13,699,096 6,849,548 3,424,774 1,712,387 5,137,162 2,568,581 7,705,744 3,852,872 1,926,436 963,218 481,609 1,444,828 722,414 361,207 1,083,622 541,811 1,625,434 812,717 2,438,152 1,219,076 609,538 304,769 914,308 457,154 228,577 685,732 342,866 171,433 514,300 257,150 128,575 385,726 192,863 578,590 289,295 867,886 433,943 1,301,830 650,915 1,952,746 976,373 2,929,120 1,464,560 732,280 366,140

More profiles

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