λ
Prime Ledger

3,453,121

7 × 31 × 15913
Deficient Odd Composite

3,453,121 has the prime decomposition 7 × 31 × 15913. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 31 × 15913
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,073,984
Proper Divisor Sum 620,863
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #3453101 ← → #3453127

Radix Representation

Decimal 3453121
Binary 1101001011000011000001 (22 bits)
Octal 0o15130301
Hexadecimal 0x34B0C1

Divisor Catalog (8)

1 7 31 217 15,913 111,391 493,303 3,453,121

Collatz Trajectory (182 steps to reach 1)

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

3,453,121 10,359,364 5,179,682 2,589,841 7,769,524 3,884,762 1,942,381 5,827,144 2,913,572 1,456,786 728,393 2,185,180 1,092,590 546,295 1,638,886 819,443 2,458,330 1,229,165 3,687,496 1,843,748 921,874 460,937 1,382,812 691,406 345,703 1,037,110 518,555 1,555,666 777,833 2,333,500 1,166,750 583,375 1,750,126 875,063 2,625,190 1,312,595 3,937,786 1,968,893 5,906,680 2,953,340 1,476,670 738,335 2,215,006 1,107,503 3,322,510 1,661,255 4,983,766 2,491,883 7,475,650 3,737,825 11,213,476 5,606,738 2,803,369 8,410,108 4,205,054 2,102,527 6,307,582 3,153,791 9,461,374 4,730,687

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