λ
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Atlas › Integer Profiles › Node 9,286,802

9,286,802

2 × 7 × 23 × 151 × 191
Deficient Even Composite

9,286,802 factors as 2 × 7 × 23 × 151 × 191. Its 32 positive divisors give a proper-divisor sum of 7,523,182, so this integer is deficient. The Collatz stopping time is 132 steps.

Prime Factor Structure

Factorization String 2 × 7 × 23 × 151 × 191
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,809,984
Proper Divisor Sum 7,523,182
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9286799 ← → #9286807

Radix Representation

Decimal 9286802
Binary 100011011011010010010010 (24 bits)
Octal 0o43332222
Hexadecimal 0x8DB492

Divisor Catalog (32)

1 2 7 14 23 46 151 161 191 302 322 382 1,057 1,337 2,114 2,674 3,473 4,393 6,946 8,786 24,311 28,841 30,751 48,622 57,682 61,502 201,887 403,774 663,343 1,326,686 4,643,401 9,286,802

Collatz Trajectory (132 steps to reach 1)

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

9,286,802 4,643,401 13,930,204 6,965,102 3,482,551 10,447,654 5,223,827 15,671,482 7,835,741 23,507,224 11,753,612 5,876,806 2,938,403 8,815,210 4,407,605 13,222,816 6,611,408 3,305,704 1,652,852 826,426 413,213 1,239,640 619,820 309,910 154,955 464,866 232,433 697,300 348,650 174,325 522,976 261,488 130,744 65,372 32,686 16,343 49,030 24,515 73,546 36,773 110,320 55,160 27,580 13,790 6,895 20,686 10,343 31,030 15,515 46,546 23,273 69,820 34,910 17,455 52,366 26,183 78,550 39,275 117,826 58,913

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