7,903,002

2 × 3 × 79 × 16673

Starting at 7,903,002, the Collatz iteration reaches 1 after 62 steps. The first transition is 3951501; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 79 × 16673

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 16,007,040

Proper Divisor Sum 8,104,038

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #7903001 ← → #7903009

Radix Representation

Decimal	7903002
Binary	11110001001011100011010 (23 bits)
Octal	0o36113432
Hexadecimal	0x78971A

Divisor Catalog (16)

1 2 3 6 79 158 237 474 16,673 33,346 50,019 100,038 1,317,167 2,634,334 3,951,501 7,903,002

Collatz Trajectory (62 steps to reach 1)

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

7,903,002 3,951,501 11,854,504 5,927,252 2,963,626 1,481,813 4,445,440 2,222,720 1,111,360 555,680 277,840 138,920 69,460 34,730 17,365 52,096 26,048 13,024 6,512 3,256 1,628 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8

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