λ
Harmonic Matrix

3,154,845

3 × 5 × 210323
Deficient Odd Composite

3,154,845 has digital root 3. The neighboring primes are 3154831 and 3154849; its proper-divisor sum differs from the starting integer by -1,261,914.

Prime Factor Structure

Factorization String 3 × 5 × 210323
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,047,776
Proper Divisor Sum 1,892,931
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3154831 ← → #3154849

Radix Representation

Decimal 3154845
Binary 1100000010001110011101 (22 bits)
Octal 0o14021635
Hexadecimal 0x30239D

Divisor Catalog (8)

1 3 5 15 210,323 630,969 1,051,615 3,154,845

Collatz Trajectory (239 steps to reach 1)

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

3,154,845 9,464,536 4,732,268 2,366,134 1,183,067 3,549,202 1,774,601 5,323,804 2,661,902 1,330,951 3,992,854 1,996,427 5,989,282 2,994,641 8,983,924 4,491,962 2,245,981 6,737,944 3,368,972 1,684,486 842,243 2,526,730 1,263,365 3,790,096 1,895,048 947,524 473,762 236,881 710,644 355,322 177,661 532,984 266,492 133,246 66,623 199,870 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

More profiles

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