λ
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Atlas › Integer Profiles › Node 6,937,574

6,937,574

2 × 7 × 37 × 59 × 227
Deficient Even Composite

6,937,574 factors as 2 × 7 × 37 × 59 × 227. Its 32 positive divisors give a proper-divisor sum of 5,538,586, so this integer is deficient. The Collatz stopping time is 209 steps.

Prime Factor Structure

Factorization String 2 × 7 × 37 × 59 × 227
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,476,160
Proper Divisor Sum 5,538,586
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #6937573 ← → #6937607

Radix Representation

Decimal 6937574
Binary 11010011101101111100110 (23 bits)
Octal 0o32355746
Hexadecimal 0x69DBE6

Divisor Catalog (32)

1 2 7 14 37 59 74 118 227 259 413 454 518 826 1,589 2,183 3,178 4,366 8,399 13,393 15,281 16,798 26,786 30,562 58,793 93,751 117,586 187,502 495,541 991,082 3,468,787 6,937,574

Collatz Trajectory (209 steps to reach 1)

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

6,937,574 3,468,787 10,406,362 5,203,181 15,609,544 7,804,772 3,902,386 1,951,193 5,853,580 2,926,790 1,463,395 4,390,186 2,195,093 6,585,280 3,292,640 1,646,320 823,160 411,580 205,790 102,895 308,686 154,343 463,030 231,515 694,546 347,273 1,041,820 520,910 260,455 781,366 390,683 1,172,050 586,025 1,758,076 879,038 439,519 1,318,558 659,279 1,977,838 988,919 2,966,758 1,483,379 4,450,138 2,225,069 6,675,208 3,337,604 1,668,802 834,401 2,503,204 1,251,602 625,801 1,877,404 938,702 469,351 1,408,054 704,027 2,112,082 1,056,041 3,168,124 1,584,062

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