7,258,972

2² × 7 × 131 × 1979

Starting at 7,258,972, the Collatz iteration reaches 1 after 116 steps. The first transition is 3629486; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 131 × 1979

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 14,636,160

Proper Divisor Sum 7,377,188

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #7258967 ← → #7258973

Radix Representation

Decimal	7258972
Binary	11011101100001101011100 (23 bits)
Octal	0o33541534
Hexadecimal	0x6EC35C

Divisor Catalog (24)

1 2 4 7 14 28 131 262 524 917 1,834 1,979 3,668 3,958 7,916 13,853 27,706 55,412 259,249 518,498 1,036,996 1,814,743 3,629,486 7,258,972

Collatz Trajectory (116 steps to reach 1)

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

7,258,972 3,629,486 1,814,743 5,444,230 2,722,115 8,166,346 4,083,173 12,249,520 6,124,760 3,062,380 1,531,190 765,595 2,296,786 1,148,393 3,445,180 1,722,590 861,295 2,583,886 1,291,943 3,875,830 1,937,915 5,813,746 2,906,873 8,720,620 4,360,310 2,180,155 6,540,466 3,270,233 9,810,700 4,905,350 2,452,675 7,358,026 3,679,013 11,037,040 5,518,520 2,759,260 1,379,630 689,815 2,069,446 1,034,723 3,104,170 1,552,085 4,656,256 2,328,128 1,164,064 582,032 291,016 145,508 72,754 36,377 109,132 54,566 27,283 81,850 40,925 122,776 61,388 30,694 15,347 46,042

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