7,708,197

3 × 7 × 23 × 15959

Starting at 7,708,197, the Collatz iteration reaches 1 after 155 steps. The first transition is 23124592; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 23 × 15959

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,257,280

Proper Divisor Sum 4,549,083

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #7708193 ← → #7708199

Radix Representation

Decimal	7708197
Binary	11101011001111000100101 (23 bits)
Octal	0o35317045
Hexadecimal	0x759E25

Divisor Catalog (16)

1 3 7 21 23 69 161 483 15,959 47,877 111,713 335,139 367,057 1,101,171 2,569,399 7,708,197

Collatz Trajectory (155 steps to reach 1)

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

7,708,197 23,124,592 11,562,296 5,781,148 2,890,574 1,445,287 4,335,862 2,167,931 6,503,794 3,251,897 9,755,692 4,877,846 2,438,923 7,316,770 3,658,385 10,975,156 5,487,578 2,743,789 8,231,368 4,115,684 2,057,842 1,028,921 3,086,764 1,543,382 771,691 2,315,074 1,157,537 3,472,612 1,736,306 868,153 2,604,460 1,302,230 651,115 1,953,346 976,673 2,930,020 1,465,010 732,505 2,197,516 1,098,758 549,379 1,648,138 824,069 2,472,208 1,236,104 618,052 309,026 154,513 463,540 231,770 115,885 347,656 173,828 86,914 43,457 130,372 65,186 32,593 97,780 48,890

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