λ
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Atlas › Integer Profiles › Node 6,902,154

6,902,154

2 × 32 × 7 × 54779
Abundant Even Composite

6,902,154 factors as 2 × 3^2 × 7 × 54779. Its 24 positive divisors give a proper-divisor sum of 10,189,206, so this integer is abundant. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 54779
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 17,091,360
Proper Divisor Sum 10,189,206
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6902141 ← → #6902171

Radix Representation

Decimal 6902154
Binary 11010010101000110001010 (23 bits)
Octal 0o32250612
Hexadecimal 0x69518A

Divisor Catalog (24)

1 2 3 6 7 9 14 18 21 42 63 126 54,779 109,558 164,337 328,674 383,453 493,011 766,906 986,022 1,150,359 2,300,718 3,451,077 6,902,154

Collatz Trajectory (160 steps to reach 1)

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

6,902,154 3,451,077 10,353,232 5,176,616 2,588,308 1,294,154 647,077 1,941,232 970,616 485,308 242,654 121,327 363,982 181,991 545,974 272,987 818,962 409,481 1,228,444 614,222 307,111 921,334 460,667 1,382,002 691,001 2,073,004 1,036,502 518,251 1,554,754 777,377 2,332,132 1,166,066 583,033 1,749,100 874,550 437,275 1,311,826 655,913 1,967,740 983,870 491,935 1,475,806 737,903 2,213,710 1,106,855 3,320,566 1,660,283 4,980,850 2,490,425 7,471,276 3,735,638 1,867,819 5,603,458 2,801,729 8,405,188 4,202,594 2,101,297 6,303,892 3,151,946 1,575,973

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