λ
Harmonic Matrix

4,491,992

23 × 23 × 24413
Deficient Even Composite

4,491,992 has digital root 2. The neighboring primes are 4491989 and 4491997; its proper-divisor sum differs from the starting integer by -194,944.

Prime Factor Structure

Factorization String 2^3 × 23 × 24413
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,789,040
Proper Divisor Sum 4,297,048
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #4491989 ← → #4491997

Radix Representation

Decimal 4491992
Binary 10001001000101011011000 (23 bits)
Octal 0o21105330
Hexadecimal 0x448AD8

Divisor Catalog (16)

1 2 4 8 23 46 92 184 24,413 48,826 97,652 195,304 561,499 1,122,998 2,245,996 4,491,992

Collatz Trajectory (224 steps to reach 1)

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

4,491,992 2,245,996 1,122,998 561,499 1,684,498 842,249 2,526,748 1,263,374 631,687 1,895,062 947,531 2,842,594 1,421,297 4,263,892 2,131,946 1,065,973 3,197,920 1,598,960 799,480 399,740 199,870 99,935 299,806 149,903 449,710 224,855 674,566 337,283 1,011,850 505,925 1,517,776 758,888 379,444 189,722 94,861 284,584 142,292 71,146 35,573 106,720 53,360 26,680 13,340 6,670 3,335 10,006 5,003 15,010 7,505 22,516 11,258 5,629 16,888 8,444 4,222 2,111 6,334 3,167 9,502 4,751

More profiles

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