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Atlas › Integer Profiles › Node 9,213,416

9,213,416

23 × 29 × 151 × 263
Deficient Even Composite

9,213,416 factors as 2^3 × 29 × 151 × 263. Its 32 positive divisors give a proper-divisor sum of 8,844,184, so this integer is deficient. The Collatz stopping time is 101 steps.

Prime Factor Structure

Factorization String 2^3 × 29 × 151 × 263
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 18,057,600
Proper Divisor Sum 8,844,184
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #9213401 ← → #9213419

Radix Representation

Decimal 9213416
Binary 100011001001010111101000 (24 bits)
Octal 0o43112750
Hexadecimal 0x8C95E8

Divisor Catalog (32)

1 2 4 8 29 58 116 151 232 263 302 526 604 1,052 1,208 2,104 4,379 7,627 8,758 15,254 17,516 30,508 35,032 39,713 61,016 79,426 158,852 317,704 1,151,677 2,303,354 4,606,708 9,213,416

Collatz Trajectory (101 steps to reach 1)

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

9,213,416 4,606,708 2,303,354 1,151,677 3,455,032 1,727,516 863,758 431,879 1,295,638 647,819 1,943,458 971,729 2,915,188 1,457,594 728,797 2,186,392 1,093,196 546,598 273,299 819,898 409,949 1,229,848 614,924 307,462 153,731 461,194 230,597 691,792 345,896 172,948 86,474 43,237 129,712 64,856 32,428 16,214 8,107 24,322 12,161 36,484 18,242 9,121 27,364 13,682 6,841 20,524 10,262 5,131 15,394 7,697 23,092 11,546 5,773 17,320 8,660 4,330 2,165 6,496 3,248 1,624

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