7,834,273

7834273

Starting at 7,834,273, the Collatz iteration reaches 1 after 155 steps. The first transition is 23502820; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 7834273

Distinct Prime Factors 1

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 2

Divisor Sum (σ) 7,834,274

Proper Divisor Sum 1

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #7834259 ← → #7834279

Radix Representation

Decimal	7834273
Binary	11101111000101010100001 (23 bits)
Octal	0o35705241
Hexadecimal	0x778AA1

Divisor Catalog (2)

1 7,834,273

Collatz Trajectory (155 steps to reach 1)

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

7,834,273 23,502,820 11,751,410 5,875,705 17,627,116 8,813,558 4,406,779 13,220,338 6,610,169 19,830,508 9,915,254 4,957,627 14,872,882 7,436,441 22,309,324 11,154,662 5,577,331 16,731,994 8,365,997 25,097,992 12,548,996 6,274,498 3,137,249 9,411,748 4,705,874 2,352,937 7,058,812 3,529,406 1,764,703 5,294,110 2,647,055 7,941,166 3,970,583 11,911,750 5,955,875 17,867,626 8,933,813 26,801,440 13,400,720 6,700,360 3,350,180 1,675,090 837,545 2,512,636 1,256,318 628,159 1,884,478 942,239 2,826,718 1,413,359 4,240,078 2,120,039 6,360,118 3,180,059 9,540,178 4,770,089 14,310,268 7,155,134 3,577,567 10,732,702

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