7,617,999

3 × 1429 × 1777

7,617,999 factors as 3 × 1429 × 1777. Its 8 positive divisors give a proper-divisor sum of 2,552,161, so this integer is deficient. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 3 × 1429 × 1777

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,170,160

Proper Divisor Sum 2,552,161

Digit Sum / Digital Root 48 (Root: 3)

Adjacent Primes #7617977 ← → #7618001

Radix Representation

Decimal	7617999
Binary	11101000011110111001111 (23 bits)
Octal	0o35036717
Hexadecimal	0x743DCF

Divisor Catalog (8)

1 3 1,429 1,777 4,287 5,331 2,539,333 7,617,999

Collatz Trajectory (103 steps to reach 1)

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

7,617,999 22,853,998 11,426,999 34,280,998 17,140,499 51,421,498 25,710,749 77,132,248 38,566,124 19,283,062 9,641,531 28,924,594 14,462,297 43,386,892 21,693,446 10,846,723 32,540,170 16,270,085 48,810,256 24,405,128 12,202,564 6,101,282 3,050,641 9,151,924 4,575,962 2,287,981 6,863,944 3,431,972 1,715,986 857,993 2,573,980 1,286,990 643,495 1,930,486 965,243 2,895,730 1,447,865 4,343,596 2,171,798 1,085,899 3,257,698 1,628,849 4,886,548 2,443,274 1,221,637 3,664,912 1,832,456 916,228 458,114 229,057 687,172 343,586 171,793 515,380 257,690 128,845 386,536 193,268 96,634 48,317

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