λ
Harmonic Matrix

9,343,998

2 × 34 × 57679
Abundant Even Composite

9,343,998 has digital root 9. The neighboring primes are 9343993 and 9344011; its proper-divisor sum differs from the starting integer by 2,249,844.

Prime Factor Structure

Factorization String 2 × 3^4 × 57679
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 20,937,840
Proper Divisor Sum 11,593,842
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #9343993 ← → #9344011

Radix Representation

Decimal 9343998
Binary 100011101001001111111110 (24 bits)
Octal 0o43511776
Hexadecimal 0x8E93FE

Divisor Catalog (20)

1 2 3 6 9 18 27 54 81 162 57,679 115,358 173,037 346,074 519,111 1,038,222 1,557,333 3,114,666 4,671,999 9,343,998

Collatz Trajectory (119 steps to reach 1)

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

9,343,998 4,671,999 14,015,998 7,007,999 21,023,998 10,511,999 31,535,998 15,767,999 47,303,998 23,651,999 70,955,998 35,477,999 106,433,998 53,216,999 159,650,998 79,825,499 239,476,498 119,738,249 359,214,748 179,607,374 89,803,687 269,411,062 134,705,531 404,116,594 202,058,297 606,174,892 303,087,446 151,543,723 454,631,170 227,315,585 681,946,756 340,973,378 170,486,689 511,460,068 255,730,034 127,865,017 383,595,052 191,797,526 95,898,763 287,696,290 143,848,145 431,544,436 215,772,218 107,886,109 323,658,328 161,829,164 80,914,582 40,457,291 121,371,874 60,685,937 182,057,812 91,028,906 45,514,453 136,543,360 68,271,680 34,135,840 17,067,920 8,533,960 4,266,980 2,133,490

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