7,596,100

2² × 5² × 37 × 2053

Starting at 7,596,100, the Collatz iteration reaches 1 after 129 steps. The first transition is 3798050; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 37 × 2053

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 16,937,284

Proper Divisor Sum 9,341,184

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #7596097 ← → #7596107

Radix Representation

Decimal	7596100
Binary	11100111110100001000100 (23 bits)
Octal	0o34764104
Hexadecimal	0x73E844

Divisor Catalog (36)

1 2 4 5 10 20 25 37 50 74 100 148 185 370 740 925 1,850 2,053 3,700 4,106 8,212 10,265 20,530 41,060 51,325 75,961 102,650 151,922 205,300 303,844 379,805 759,610 1,519,220 1,899,025 3,798,050 7,596,100

Collatz Trajectory (129 steps to reach 1)

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

7,596,100 3,798,050 1,899,025 5,697,076 2,848,538 1,424,269 4,272,808 2,136,404 1,068,202 534,101 1,602,304 801,152 400,576 200,288 100,144 50,072 25,036 12,518 6,259 18,778 9,389 28,168 14,084 7,042 3,521 10,564 5,282 2,641 7,924 3,962 1,981 5,944 2,972 1,486 743 2,230 1,115 3,346 1,673 5,020 2,510 1,255 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050

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