λ
Harmonic Matrix

9,122,415

3 × 5 × 608161
Deficient Odd Composite

9,122,415 has digital root 6. The neighboring primes are 9122389 and 9122417; its proper-divisor sum differs from the starting integer by -3,648,942.

Prime Factor Structure

Factorization String 3 × 5 × 608161
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 14,595,888
Proper Divisor Sum 5,473,473
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #9122389 ← → #9122417

Radix Representation

Decimal 9122415
Binary 100010110011001001101111 (24 bits)
Octal 0o42631157
Hexadecimal 0x8B326F

Divisor Catalog (8)

1 3 5 15 608,161 1,824,483 3,040,805 9,122,415

Collatz Trajectory (137 steps to reach 1)

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

9,122,415 27,367,246 13,683,623 41,050,870 20,525,435 61,576,306 30,788,153 92,364,460 46,182,230 23,091,115 69,273,346 34,636,673 103,910,020 51,955,010 25,977,505 77,932,516 38,966,258 19,483,129 58,449,388 29,224,694 14,612,347 43,837,042 21,918,521 65,755,564 32,877,782 16,438,891 49,316,674 24,658,337 73,975,012 36,987,506 18,493,753 55,481,260 27,740,630 13,870,315 41,610,946 20,805,473 62,416,420 31,208,210 15,604,105 46,812,316 23,406,158 11,703,079 35,109,238 17,554,619 52,663,858 26,331,929 78,995,788 39,497,894 19,748,947 59,246,842 29,623,421 88,870,264 44,435,132 22,217,566 11,108,783 33,326,350 16,663,175 49,989,526 24,994,763 74,984,290

More profiles

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