7,738,367

7 × 13 × 85037

Starting at 7,738,367, the Collatz iteration reaches 1 after 186 steps. The first transition is 23215102; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 13 × 85037

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,524,256

Proper Divisor Sum 1,785,889

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #7738351 ← → #7738391

Radix Representation

Decimal	7738367
Binary	11101100001001111111111 (23 bits)
Octal	0o35411777
Hexadecimal	0x7613FF

Divisor Catalog (8)

1 7 13 91 85,037 595,259 1,105,481 7,738,367

Collatz Trajectory (186 steps to reach 1)

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

7,738,367 23,215,102 11,607,551 34,822,654 17,411,327 52,233,982 26,116,991 78,350,974 39,175,487 117,526,462 58,763,231 176,289,694 88,144,847 264,434,542 132,217,271 396,651,814 198,325,907 594,977,722 297,488,861 892,466,584 446,233,292 223,116,646 111,558,323 334,674,970 167,337,485 502,012,456 251,006,228 125,503,114 62,751,557 188,254,672 94,127,336 47,063,668 23,531,834 11,765,917 35,297,752 17,648,876 8,824,438 4,412,219 13,236,658 6,618,329 19,854,988 9,927,494 4,963,747 14,891,242 7,445,621 22,336,864 11,168,432 5,584,216 2,792,108 1,396,054 698,027 2,094,082 1,047,041 3,141,124 1,570,562 785,281 2,355,844 1,177,922 588,961 1,766,884

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