7,790,002

2 × 11 × 354091

7,790,002 factors as 2 × 11 × 354091. Its 8 positive divisors give a proper-divisor sum of 4,957,310, so this integer is deficient. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 2 × 11 × 354091

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 12,747,312

Proper Divisor Sum 4,957,310

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #7789997 ← → #7790047

Radix Representation

Decimal	7790002
Binary	11101101101110110110010 (23 bits)
Octal	0o35556662
Hexadecimal	0x76DDB2

Divisor Catalog (8)

1 2 11 22 354,091 708,182 3,895,001 7,790,002

Collatz Trajectory (111 steps to reach 1)

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

7,790,002 3,895,001 11,685,004 5,842,502 2,921,251 8,763,754 4,381,877 13,145,632 6,572,816 3,286,408 1,643,204 821,602 410,801 1,232,404 616,202 308,101 924,304 462,152 231,076 115,538 57,769 173,308 86,654 43,327 129,982 64,991 194,974 97,487 292,462 146,231 438,694 219,347 658,042 329,021 987,064 493,532 246,766 123,383 370,150 185,075 555,226 277,613 832,840 416,420 208,210 104,105 312,316 156,158 78,079 234,238 117,119 351,358 175,679 527,038 263,519 790,558 395,279 1,185,838 592,919 1,778,758

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