7,494,123

3 × 7 × 13 × 97 × 283

Starting at 7,494,123, the Collatz iteration reaches 1 after 134 steps. The first transition is 22482370; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 13 × 97 × 283

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 12,468,736

Proper Divisor Sum 4,974,613

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7494119 ← → #7494131

Radix Representation

Decimal	7494123
Binary	11100100101100111101011 (23 bits)
Octal	0o34454753
Hexadecimal	0x7259EB

Divisor Catalog (32)

1 3 7 13 21 39 91 97 273 283 291 679 849 1,261 1,981 2,037 3,679 3,783 5,943 8,827 11,037 25,753 26,481 27,451 77,259 82,353 192,157 356,863 576,471 1,070,589 2,498,041 7,494,123

Collatz Trajectory (134 steps to reach 1)

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

7,494,123 22,482,370 11,241,185 33,723,556 16,861,778 8,430,889 25,292,668 12,646,334 6,323,167 18,969,502 9,484,751 28,454,254 14,227,127 42,681,382 21,340,691 64,022,074 32,011,037 96,033,112 48,016,556 24,008,278 12,004,139 36,012,418 18,006,209 54,018,628 27,009,314 13,504,657 40,513,972 20,256,986 10,128,493 30,385,480 15,192,740 7,596,370 3,798,185 11,394,556 5,697,278 2,848,639 8,545,918 4,272,959 12,818,878 6,409,439 19,228,318 9,614,159 28,842,478 14,421,239 43,263,718 21,631,859 64,895,578 32,447,789 97,343,368 48,671,684 24,335,842 12,167,921 36,503,764 18,251,882 9,125,941 27,377,824 13,688,912 6,844,456 3,422,228 1,711,114

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