7,734,563

1361 × 5683

Starting at 7,734,563, the Collatz iteration reaches 1 after 217 steps. The first transition is 23203690; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 1361 × 5683

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 7,741,608

Proper Divisor Sum 7,045

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #7734523 ← → #7734581

Radix Representation

Decimal	7734563
Binary	11101100000010100100011 (23 bits)
Octal	0o35402443
Hexadecimal	0x760523

Divisor Catalog (4)

1 1,361 5,683 7,734,563

Collatz Trajectory (217 steps to reach 1)

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

7,734,563 23,203,690 11,601,845 34,805,536 17,402,768 8,701,384 4,350,692 2,175,346 1,087,673 3,263,020 1,631,510 815,755 2,447,266 1,223,633 3,670,900 1,835,450 917,725 2,753,176 1,376,588 688,294 344,147 1,032,442 516,221 1,548,664 774,332 387,166 193,583 580,750 290,375 871,126 435,563 1,306,690 653,345 1,960,036 980,018 490,009 1,470,028 735,014 367,507 1,102,522 551,261 1,653,784 826,892 413,446 206,723 620,170 310,085 930,256 465,128 232,564 116,282 58,141 174,424 87,212 43,606 21,803 65,410 32,705 98,116 49,058

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