λ
Integer Codex

9,409,506

2 × 3 × 1568251
Abundant Even Composite

For 9,409,506, the 8 positive divisors have a total of 18,819,024. Removing 9,409,506 leaves 9,409,518, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 1568251
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 18,819,024
Proper Divisor Sum 9,409,518
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9409489 ← → #9409529

Radix Representation

Decimal 9409506
Binary 100011111001001111100010 (24 bits)
Octal 0o43711742
Hexadecimal 0x8F93E2

Divisor Catalog (8)

1 2 3 6 1,568,251 3,136,502 4,704,753 9,409,506

Collatz Trajectory (176 steps to reach 1)

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

9,409,506 4,704,753 14,114,260 7,057,130 3,528,565 10,585,696 5,292,848 2,646,424 1,323,212 661,606 330,803 992,410 496,205 1,488,616 744,308 372,154 186,077 558,232 279,116 139,558 69,779 209,338 104,669 314,008 157,004 78,502 39,251 117,754 58,877 176,632 88,316 44,158 22,079 66,238 33,119 99,358 49,679 149,038 74,519 223,558 111,779 335,338 167,669 503,008 251,504 125,752 62,876 31,438 15,719 47,158 23,579 70,738 35,369 106,108 53,054 26,527 79,582 39,791 119,374 59,687

More profiles

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