7,817,395

5 × 251 × 6229

Starting at 7,817,395, the Collatz iteration reaches 1 after 199 steps. The first transition is 23452186; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 251 × 6229

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,419,760

Proper Divisor Sum 1,602,365

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #7817393 ← → #7817419

Radix Representation

Decimal	7817395
Binary	11101110100100010110011 (23 bits)
Octal	0o35644263
Hexadecimal	0x7748B3

Divisor Catalog (8)

1 5 251 1,255 6,229 31,145 1,563,479 7,817,395

Collatz Trajectory (199 steps to reach 1)

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

7,817,395 23,452,186 11,726,093 35,178,280 17,589,140 8,794,570 4,397,285 13,191,856 6,595,928 3,297,964 1,648,982 824,491 2,473,474 1,236,737 3,710,212 1,855,106 927,553 2,782,660 1,391,330 695,665 2,086,996 1,043,498 521,749 1,565,248 782,624 391,312 195,656 97,828 48,914 24,457 73,372 36,686 18,343 55,030 27,515 82,546 41,273 123,820 61,910 30,955 92,866 46,433 139,300 69,650 34,825 104,476 52,238 26,119 78,358 39,179 117,538 58,769 176,308 88,154 44,077 132,232 66,116 33,058 16,529 49,588

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