λ
Harmonic Matrix

7,684,279

1019 × 7541
Deficient Odd Composite

7,684,279 has digital root 7. The neighboring primes are 7684273 and 7684283; its proper-divisor sum differs from the starting integer by -7,675,718.

Prime Factor Structure

Factorization String 1019 × 7541
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,692,840
Proper Divisor Sum 8,561
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #7684273 ← → #7684283

Radix Representation

Decimal 7684279
Binary 11101010100000010110111 (23 bits)
Octal 0o35240267
Hexadecimal 0x7540B7

Divisor Catalog (4)

1 1,019 7,541 7,684,279

Collatz Trajectory (124 steps to reach 1)

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

7,684,279 23,052,838 11,526,419 34,579,258 17,289,629 51,868,888 25,934,444 12,967,222 6,483,611 19,450,834 9,725,417 29,176,252 14,588,126 7,294,063 21,882,190 10,941,095 32,823,286 16,411,643 49,234,930 24,617,465 73,852,396 36,926,198 18,463,099 55,389,298 27,694,649 83,083,948 41,541,974 20,770,987 62,312,962 31,156,481 93,469,444 46,734,722 23,367,361 70,102,084 35,051,042 17,525,521 52,576,564 26,288,282 13,144,141 39,432,424 19,716,212 9,858,106 4,929,053 14,787,160 7,393,580 3,696,790 1,848,395 5,545,186 2,772,593 8,317,780 4,158,890 2,079,445 6,238,336 3,119,168 1,559,584 779,792 389,896 194,948 97,474 48,737

More profiles

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