7,340,948

2² × 37 × 193 × 257

Starting at 7,340,948, the Collatz iteration reaches 1 after 191 steps. The first transition is 3670474; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 37 × 193 × 257

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 13,313,832

Proper Divisor Sum 5,972,884

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #7340939 ← → #7340951

Radix Representation

Decimal	7340948
Binary	11100000000001110010100 (23 bits)
Octal	0o34001624
Hexadecimal	0x700394

Divisor Catalog (24)

1 2 4 37 74 148 193 257 386 514 772 1,028 7,141 9,509 14,282 19,018 28,564 38,036 49,601 99,202 198,404 1,835,237 3,670,474 7,340,948

Collatz Trajectory (191 steps to reach 1)

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

7,340,948 3,670,474 1,835,237 5,505,712 2,752,856 1,376,428 688,214 344,107 1,032,322 516,161 1,548,484 774,242 387,121 1,161,364 580,682 290,341 871,024 435,512 217,756 108,878 54,439 163,318 81,659 244,978 122,489 367,468 183,734 91,867 275,602 137,801 413,404 206,702 103,351 310,054 155,027 465,082 232,541 697,624 348,812 174,406 87,203 261,610 130,805 392,416 196,208 98,104 49,052 24,526 12,263 36,790 18,395 55,186 27,593 82,780 41,390 20,695 62,086 31,043 93,130 46,565

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