λ
Integer Codex

1,217,813

1217813
Deficient Odd Prime

For 1,217,813, the 2 positive divisors have a total of 1,217,814. Removing 1,217,813 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 1217813
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,217,814
Proper Divisor Sum 1
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #1217809 ← → #1217831

Radix Representation

Decimal 1217813
Binary 100101001010100010101 (21 bits)
Octal 0o4512425
Hexadecimal 0x129515

Divisor Catalog (2)

1 1,217,813

Collatz Trajectory (204 steps to reach 1)

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

1,217,813 3,653,440 1,826,720 913,360 456,680 228,340 114,170 57,085 171,256 85,628 42,814 21,407 64,222 32,111 96,334 48,167 144,502 72,251 216,754 108,377 325,132 162,566 81,283 243,850 121,925 365,776 182,888 91,444 45,722 22,861 68,584 34,292 17,146 8,573 25,720 12,860 6,430 3,215 9,646 4,823 14,470 7,235 21,706 10,853 32,560 16,280 8,140 4,070 2,035 6,106 3,053 9,160 4,580 2,290 1,145 3,436 1,718 859 2,578 1,289

More profiles

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