7,258,100

2² × 5² × 181 × 401

Starting at 7,258,100, the Collatz iteration reaches 1 after 129 steps. The first transition is 3629050; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 181 × 401

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 15,876,588

Proper Divisor Sum 8,618,488

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #7258093 ← → #7258109

Radix Representation

Decimal	7258100
Binary	11011101011111111110100 (23 bits)
Octal	0o33537764
Hexadecimal	0x6EBFF4

Divisor Catalog (36)

1 2 4 5 10 20 25 50 100 181 362 401 724 802 905 1,604 1,810 2,005 3,620 4,010 4,525 8,020 9,050 10,025 18,100 20,050 40,100 72,581 145,162 290,324 362,905 725,810 1,451,620 1,814,525 3,629,050 7,258,100

Collatz Trajectory (129 steps to reach 1)

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

7,258,100 3,629,050 1,814,525 5,443,576 2,721,788 1,360,894 680,447 2,041,342 1,020,671 3,062,014 1,531,007 4,593,022 2,296,511 6,889,534 3,444,767 10,334,302 5,167,151 15,501,454 7,750,727 23,252,182 11,626,091 34,878,274 17,439,137 52,317,412 26,158,706 13,079,353 39,238,060 19,619,030 9,809,515 29,428,546 14,714,273 44,142,820 22,071,410 11,035,705 33,107,116 16,553,558 8,276,779 24,830,338 12,415,169 37,245,508 18,622,754 9,311,377 27,934,132 13,967,066 6,983,533 20,950,600 10,475,300 5,237,650 2,618,825 7,856,476 3,928,238 1,964,119 5,892,358 2,946,179 8,838,538 4,419,269 13,257,808 6,628,904 3,314,452 1,657,226

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