λ
Sequence Observatory

6,153,129

32 × 683681
Deficient Odd Composite

Starting at 6,153,129, the Collatz iteration reaches 1 after 196 steps. The first transition is 18459388; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 683681
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 8,887,866
Proper Divisor Sum 2,734,737
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6153127 ← → #6153139

Radix Representation

Decimal 6153129
Binary 10111011110001110101001 (23 bits)
Octal 0o27361651
Hexadecimal 0x5DE3A9

Divisor Catalog (6)

1 3 9 683,681 2,051,043 6,153,129

Collatz Trajectory (196 steps to reach 1)

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

6,153,129 18,459,388 9,229,694 4,614,847 13,844,542 6,922,271 20,766,814 10,383,407 31,150,222 15,575,111 46,725,334 23,362,667 70,088,002 35,044,001 105,132,004 52,566,002 26,283,001 78,849,004 39,424,502 19,712,251 59,136,754 29,568,377 88,705,132 44,352,566 22,176,283 66,528,850 33,264,425 99,793,276 49,896,638 24,948,319 74,844,958 37,422,479 112,267,438 56,133,719 168,401,158 84,200,579 252,601,738 126,300,869 378,902,608 189,451,304 94,725,652 47,362,826 23,681,413 71,044,240 35,522,120 17,761,060 8,880,530 4,440,265 13,320,796 6,660,398 3,330,199 9,990,598 4,995,299 14,985,898 7,492,949 22,478,848 11,239,424 5,619,712 2,809,856 1,404,928

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