λ
Harmonic Matrix

5,442,993

32 × 709 × 853
Deficient Odd Composite

5,442,993 has digital root 9. The neighboring primes are 5442989 and 5443051; its proper-divisor sum differs from the starting integer by -3,003,566.

Prime Factor Structure

Factorization String 3^2 × 709 × 853
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 7,882,420
Proper Divisor Sum 2,439,427
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5442989 ← → #5443051

Radix Representation

Decimal 5442993
Binary 10100110000110110110001 (23 bits)
Octal 0o24606661
Hexadecimal 0x530DB1

Divisor Catalog (12)

1 3 9 709 853 2,127 2,559 6,381 7,677 604,777 1,814,331 5,442,993

Collatz Trajectory (157 steps to reach 1)

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

5,442,993 16,328,980 8,164,490 4,082,245 12,246,736 6,123,368 3,061,684 1,530,842 765,421 2,296,264 1,148,132 574,066 287,033 861,100 430,550 215,275 645,826 322,913 968,740 484,370 242,185 726,556 363,278 181,639 544,918 272,459 817,378 408,689 1,226,068 613,034 306,517 919,552 459,776 229,888 114,944 57,472 28,736 14,368 7,184 3,592 1,796 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970

More profiles

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