7,603,958

2 × 71 × 53549

Starting at 7,603,958, the Collatz iteration reaches 1 after 217 steps. The first transition is 3801979; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 71 × 53549

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 11,566,800

Proper Divisor Sum 3,962,842

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #7603957 ← → #7603969

Radix Representation

Decimal	7603958
Binary	11101000000011011110110 (23 bits)
Octal	0o35003366
Hexadecimal	0x7406F6

Divisor Catalog (8)

1 2 71 142 53,549 107,098 3,801,979 7,603,958

Collatz Trajectory (217 steps to reach 1)

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

7,603,958 3,801,979 11,405,938 5,702,969 17,108,908 8,554,454 4,277,227 12,831,682 6,415,841 19,247,524 9,623,762 4,811,881 14,435,644 7,217,822 3,608,911 10,826,734 5,413,367 16,240,102 8,120,051 24,360,154 12,180,077 36,540,232 18,270,116 9,135,058 4,567,529 13,702,588 6,851,294 3,425,647 10,276,942 5,138,471 15,415,414 7,707,707 23,123,122 11,561,561 34,684,684 17,342,342 8,671,171 26,013,514 13,006,757 39,020,272 19,510,136 9,755,068 4,877,534 2,438,767 7,316,302 3,658,151 10,974,454 5,487,227 16,461,682 8,230,841 24,692,524 12,346,262 6,173,131 18,519,394 9,259,697 27,779,092 13,889,546 6,944,773 20,834,320 10,417,160

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