λ
Integer Codex

1,207,577

7 × 167 × 1033
Deficient Odd Composite

For 1,207,577, the 8 positive divisors have a total of 1,389,696. Removing 1,207,577 leaves 182,119, which gives the deficient classification.

Prime Factor Structure

Factorization String 7 × 167 × 1033
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,389,696
Proper Divisor Sum 182,119
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #1207537 ← → #1207597

Radix Representation

Decimal 1207577
Binary 100100110110100011001 (21 bits)
Octal 0o4466431
Hexadecimal 0x126D19

Divisor Catalog (8)

1 7 167 1,033 1,169 7,231 172,511 1,207,577

Collatz Trajectory (142 steps to reach 1)

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

1,207,577 3,622,732 1,811,366 905,683 2,717,050 1,358,525 4,075,576 2,037,788 1,018,894 509,447 1,528,342 764,171 2,292,514 1,146,257 3,438,772 1,719,386 859,693 2,579,080 1,289,540 644,770 322,385 967,156 483,578 241,789 725,368 362,684 181,342 90,671 272,014 136,007 408,022 204,011 612,034 306,017 918,052 459,026 229,513 688,540 344,270 172,135 516,406 258,203 774,610 387,305 1,161,916 580,958 290,479 871,438 435,719 1,307,158 653,579 1,960,738 980,369 2,941,108 1,470,554 735,277 2,205,832 1,102,916 551,458 275,729

More profiles

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