λ
Harmonic Matrix

4,998,631

112 × 109 × 379
Deficient Odd Composite

4,998,631 has digital root 4. The neighboring primes are 4998619 and 4998641; its proper-divisor sum differs from the starting integer by -4,437,862.

Prime Factor Structure

Factorization String 11^2 × 109 × 379
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 5,559,400
Proper Divisor Sum 560,769
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #4998619 ← → #4998641

Radix Representation

Decimal 4998631
Binary 10011000100010111100111 (23 bits)
Octal 0o23042747
Hexadecimal 0x4C45E7

Divisor Catalog (12)

1 11 109 121 379 1,199 4,169 13,189 41,311 45,859 454,421 4,998,631

Collatz Trajectory (162 steps to reach 1)

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

4,998,631 14,995,894 7,497,947 22,493,842 11,246,921 33,740,764 16,870,382 8,435,191 25,305,574 12,652,787 37,958,362 18,979,181 56,937,544 28,468,772 14,234,386 7,117,193 21,351,580 10,675,790 5,337,895 16,013,686 8,006,843 24,020,530 12,010,265 36,030,796 18,015,398 9,007,699 27,023,098 13,511,549 40,534,648 20,267,324 10,133,662 5,066,831 15,200,494 7,600,247 22,800,742 11,400,371 34,201,114 17,100,557 51,301,672 25,650,836 12,825,418 6,412,709 19,238,128 9,619,064 4,809,532 2,404,766 1,202,383 3,607,150 1,803,575 5,410,726 2,705,363 8,116,090 4,058,045 12,174,136 6,087,068 3,043,534 1,521,767 4,565,302 2,282,651 6,847,954

More profiles

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