λ
Harmonic Matrix

7,449,368

23 × 19 × 49009
Deficient Even Composite

7,449,368 has digital root 5. The neighboring primes are 7449367 and 7449373; its proper-divisor sum differs from the starting integer by -195,736.

Prime Factor Structure

Factorization String 2^3 × 19 × 49009
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 14,703,000
Proper Divisor Sum 7,253,632
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #7449367 ← → #7449373

Radix Representation

Decimal 7449368
Binary 11100011010101100011000 (23 bits)
Octal 0o34325430
Hexadecimal 0x71AB18

Divisor Catalog (16)

1 2 4 8 19 38 76 152 49,009 98,018 196,036 392,072 931,171 1,862,342 3,724,684 7,449,368

Collatz Trajectory (142 steps to reach 1)

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

7,449,368 3,724,684 1,862,342 931,171 2,793,514 1,396,757 4,190,272 2,095,136 1,047,568 523,784 261,892 130,946 65,473 196,420 98,210 49,105 147,316 73,658 36,829 110,488 55,244 27,622 13,811 41,434 20,717 62,152 31,076 15,538 7,769 23,308 11,654 5,827 17,482 8,741 26,224 13,112 6,556 3,278 1,639 4,918 2,459 7,378 3,689 11,068 5,534 2,767 8,302 4,151 12,454 6,227 18,682 9,341 28,024 14,012 7,006 3,503 10,510 5,255 15,766 7,883

More profiles

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