7,617,123

3² × 199 × 4253

7,617,123 has digital root 9. The neighboring primes are 7617109 and 7617133; its proper-divisor sum differs from the starting integer by -4,173,846.

Prime Factor Structure

Factorization String 3^2 × 199 × 4253

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 11,060,400

Proper Divisor Sum 3,443,277

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7617109 ← → #7617133

Radix Representation

Decimal	7617123
Binary	11101000011101001100011 (23 bits)
Octal	0o35035143
Hexadecimal	0x743A63

Divisor Catalog (12)

1 3 9 199 597 1,791 4,253 12,759 38,277 846,347 2,539,041 7,617,123

Collatz Trajectory (217 steps to reach 1)

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

7,617,123 22,851,370 11,425,685 34,277,056 17,138,528 8,569,264 4,284,632 2,142,316 1,071,158 535,579 1,606,738 803,369 2,410,108 1,205,054 602,527 1,807,582 903,791 2,711,374 1,355,687 4,067,062 2,033,531 6,100,594 3,050,297 9,150,892 4,575,446 2,287,723 6,863,170 3,431,585 10,294,756 5,147,378 2,573,689 7,721,068 3,860,534 1,930,267 5,790,802 2,895,401 8,686,204 4,343,102 2,171,551 6,514,654 3,257,327 9,771,982 4,885,991 14,657,974 7,328,987 21,986,962 10,993,481 32,980,444 16,490,222 8,245,111 24,735,334 12,367,667 37,103,002 18,551,501 55,654,504 27,827,252 13,913,626 6,956,813 20,870,440 10,435,220

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