λ
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8,536,749

3 × 13 × 23 × 31 × 307
Deficient Odd Composite

8,536,749 factors as 3 × 13 × 23 × 31 × 307. Its 32 positive divisors give a proper-divisor sum of 4,709,715, so this integer is deficient. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 3 × 13 × 23 × 31 × 307
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,246,464
Proper Divisor Sum 4,709,715
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #8536739 ← → #8536753

Radix Representation

Decimal 8536749
Binary 100000100100001010101101 (24 bits)
Octal 0o40441255
Hexadecimal 0x8242AD

Divisor Catalog (32)

1 3 13 23 31 39 69 93 299 307 403 713 897 921 1,209 2,139 3,991 7,061 9,269 9,517 11,973 21,183 27,807 28,551 91,793 123,721 218,891 275,379 371,163 656,673 2,845,583 8,536,749

Collatz Trajectory (124 steps to reach 1)

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

8,536,749 25,610,248 12,805,124 6,402,562 3,201,281 9,603,844 4,801,922 2,400,961 7,202,884 3,601,442 1,800,721 5,402,164 2,701,082 1,350,541 4,051,624 2,025,812 1,012,906 506,453 1,519,360 759,680 379,840 189,920 94,960 47,480 23,740 11,870 5,935 17,806 8,903 26,710 13,355 40,066 20,033 60,100 30,050 15,025 45,076 22,538 11,269 33,808 16,904 8,452 4,226 2,113 6,340 3,170 1,585 4,756 2,378 1,189 3,568 1,784 892 446 223 670 335 1,006 503 1,510

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