7,875,274

2 × 11 × 357967

Starting at 7,875,274, the Collatz iteration reaches 1 after 124 steps. The first transition is 3937637; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 11 × 357967

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 12,886,848

Proper Divisor Sum 5,011,574

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #7875227 ← → #7875281

Radix Representation

Decimal	7875274
Binary	11110000010101011001010 (23 bits)
Octal	0o36025312
Hexadecimal	0x782ACA

Divisor Catalog (8)

1 2 11 22 357,967 715,934 3,937,637 7,875,274

Collatz Trajectory (124 steps to reach 1)

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

7,875,274 3,937,637 11,812,912 5,906,456 2,953,228 1,476,614 738,307 2,214,922 1,107,461 3,322,384 1,661,192 830,596 415,298 207,649 622,948 311,474 155,737 467,212 233,606 116,803 350,410 175,205 525,616 262,808 131,404 65,702 32,851 98,554 49,277 147,832 73,916 36,958 18,479 55,438 27,719 83,158 41,579 124,738 62,369 187,108 93,554 46,777 140,332 70,166 35,083 105,250 52,625 157,876 78,938 39,469 118,408 59,204 29,602 14,801 44,404 22,202 11,101 33,304 16,652 8,326

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