12,003,506

2 × 29 × 349 × 593

12,003,506 factors as 2 × 29 × 349 × 593. Its 16 positive divisors give a proper-divisor sum of 6,707,494, so this integer is deficient. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 2 × 29 × 349 × 593

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 18,711,000

Proper Divisor Sum 6,707,494

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #12003457 ← → #12003527

Radix Representation

Decimal	12003506
Binary	101101110010100010110010 (24 bits)
Octal	0o55624262
Hexadecimal	0xB728B2

Divisor Catalog (16)

1 2 29 58 349 593 698 1,186 10,121 17,197 20,242 34,394 206,957 413,914 6,001,753 12,003,506

Collatz Trajectory (91 steps to reach 1)

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

12,003,506 6,001,753 18,005,260 9,002,630 4,501,315 13,503,946 6,751,973 20,255,920 10,127,960 5,063,980 2,531,990 1,265,995 3,797,986 1,898,993 5,696,980 2,848,490 1,424,245 4,272,736 2,136,368 1,068,184 534,092 267,046 133,523 400,570 200,285 600,856 300,428 150,214 75,107 225,322 112,661 337,984 168,992 84,496 42,248 21,124 10,562 5,281 15,844 7,922 3,961 11,884 5,942 2,971 8,914 4,457 13,372 6,686 3,343 10,030 5,015 15,046 7,523 22,570 11,285 33,856 16,928 8,464 4,232 2,116

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