λ
Prime Ledger

1,225,822

2 × 13 × 47147
Deficient Even Composite

1,225,822 has the prime decomposition 2 × 13 × 47147. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 47147
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,980,216
Proper Divisor Sum 754,394
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #1225817 ← → #1225849

Radix Representation

Decimal 1225822
Binary 100101011010001011110 (21 bits)
Octal 0o4532136
Hexadecimal 0x12B45E

Divisor Catalog (8)

1 2 13 26 47,147 94,294 612,911 1,225,822

Collatz Trajectory (235 steps to reach 1)

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

1,225,822 612,911 1,838,734 919,367 2,758,102 1,379,051 4,137,154 2,068,577 6,205,732 3,102,866 1,551,433 4,654,300 2,327,150 1,163,575 3,490,726 1,745,363 5,236,090 2,618,045 7,854,136 3,927,068 1,963,534 981,767 2,945,302 1,472,651 4,417,954 2,208,977 6,626,932 3,313,466 1,656,733 4,970,200 2,485,100 1,242,550 621,275 1,863,826 931,913 2,795,740 1,397,870 698,935 2,096,806 1,048,403 3,145,210 1,572,605 4,717,816 2,358,908 1,179,454 589,727 1,769,182 884,591 2,653,774 1,326,887 3,980,662 1,990,331 5,970,994 2,985,497 8,956,492 4,478,246 2,239,123 6,717,370 3,358,685 10,076,056

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