8,420,103

3² × 71 × 13177

8,420,103 factors as 3^2 × 71 × 13177. Its 12 positive divisors give a proper-divisor sum of 3,914,505, so this integer is deficient. The Collatz stopping time is 230 steps.

Prime Factor Structure

Factorization String 3^2 × 71 × 13177

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,334,608

Proper Divisor Sum 3,914,505

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #8420051 ← → #8420119

Radix Representation

Decimal	8420103
Binary	100000000111101100000111 (24 bits)
Octal	0o40075407
Hexadecimal	0x807B07

Divisor Catalog (12)

1 3 9 71 213 639 13,177 39,531 118,593 935,567 2,806,701 8,420,103

Collatz Trajectory (230 steps to reach 1)

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

8,420,103 25,260,310 12,630,155 37,890,466 18,945,233 56,835,700 28,417,850 14,208,925 42,626,776 21,313,388 10,656,694 5,328,347 15,985,042 7,992,521 23,977,564 11,988,782 5,994,391 17,983,174 8,991,587 26,974,762 13,487,381 40,462,144 20,231,072 10,115,536 5,057,768 2,528,884 1,264,442 632,221 1,896,664 948,332 474,166 237,083 711,250 355,625 1,066,876 533,438 266,719 800,158 400,079 1,200,238 600,119 1,800,358 900,179 2,700,538 1,350,269 4,050,808 2,025,404 1,012,702 506,351 1,519,054 759,527 2,278,582 1,139,291 3,417,874 1,708,937 5,126,812 2,563,406 1,281,703 3,845,110 1,922,555

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