9,733,407

3 × 59 × 127 × 433

Starting at 9,733,407, the Collatz iteration reaches 1 after 114 steps. The first transition is 29200222; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 59 × 127 × 433

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,332,480

Proper Divisor Sum 3,599,073

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #9733403 ← → #9733417

Radix Representation

Decimal	9733407
Binary	100101001000010100011111 (24 bits)
Octal	0o45102437
Hexadecimal	0x94851F

Divisor Catalog (16)

1 3 59 127 177 381 433 1,299 7,493 22,479 25,547 54,991 76,641 164,973 3,244,469 9,733,407

Collatz Trajectory (114 steps to reach 1)

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

9,733,407 29,200,222 14,600,111 43,800,334 21,900,167 65,700,502 32,850,251 98,550,754 49,275,377 147,826,132 73,913,066 36,956,533 110,869,600 55,434,800 27,717,400 13,858,700 6,929,350 3,464,675 10,394,026 5,197,013 15,591,040 7,795,520 3,897,760 1,948,880 974,440 487,220 243,610 121,805 365,416 182,708 91,354 45,677 137,032 68,516 34,258 17,129 51,388 25,694 12,847 38,542 19,271 57,814 28,907 86,722 43,361 130,084 65,042 32,521 97,564 48,782 24,391 73,174 36,587 109,762 54,881 164,644 82,322 41,161 123,484 61,742

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