7,947,123

3 × 59² × 761

Starting at 7,947,123, the Collatz iteration reaches 1 after 93 steps. The first transition is 23841370; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3 × 59^2 × 761

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 10,792,968

Proper Divisor Sum 2,845,845

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7947097 ← → #7947133

Radix Representation

Decimal	7947123
Binary	11110010100001101110011 (23 bits)
Octal	0o36241563
Hexadecimal	0x794373

Divisor Catalog (12)

1 3 59 177 761 2,283 3,481 10,443 44,899 134,697 2,649,041 7,947,123

Collatz Trajectory (93 steps to reach 1)

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

7,947,123 23,841,370 11,920,685 35,762,056 17,881,028 8,940,514 4,470,257 13,410,772 6,705,386 3,352,693 10,058,080 5,029,040 2,514,520 1,257,260 628,630 314,315 942,946 471,473 1,414,420 707,210 353,605 1,060,816 530,408 265,204 132,602 66,301 198,904 99,452 49,726 24,863 74,590 37,295 111,886 55,943 167,830 83,915 251,746 125,873 377,620 188,810 94,405 283,216 141,608 70,804 35,402 17,701 53,104 26,552 13,276 6,638 3,319 9,958 4,979 14,938 7,469 22,408 11,204 5,602 2,801 8,404

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