7,948,234

2 × 7 × 89 × 6379

Starting at 7,948,234, the Collatz iteration reaches 1 after 217 steps. The first transition is 3974117; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 89 × 6379

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,780,800

Proper Divisor Sum 5,832,566

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #7948223 ← → #7948247

Radix Representation

Decimal	7948234
Binary	11110010100011111001010 (23 bits)
Octal	0o36243712
Hexadecimal	0x7947CA

Divisor Catalog (16)

1 2 7 14 89 178 623 1,246 6,379 12,758 44,653 89,306 567,731 1,135,462 3,974,117 7,948,234

Collatz Trajectory (217 steps to reach 1)

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

7,948,234 3,974,117 11,922,352 5,961,176 2,980,588 1,490,294 745,147 2,235,442 1,117,721 3,353,164 1,676,582 838,291 2,514,874 1,257,437 3,772,312 1,886,156 943,078 471,539 1,414,618 707,309 2,121,928 1,060,964 530,482 265,241 795,724 397,862 198,931 596,794 298,397 895,192 447,596 223,798 111,899 335,698 167,849 503,548 251,774 125,887 377,662 188,831 566,494 283,247 849,742 424,871 1,274,614 637,307 1,911,922 955,961 2,867,884 1,433,942 716,971 2,150,914 1,075,457 3,226,372 1,613,186 806,593 2,419,780 1,209,890 604,945 1,814,836

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