λ
Harmonic Matrix

7,655,475

3 × 52 × 103 × 991
Deficient Odd Composite

7,655,475 has digital root 3. The neighboring primes are 7655467 and 7655489; its proper-divisor sum differs from the starting integer by -2,518,118.

Prime Factor Structure

Factorization String 3 × 5^2 × 103 × 991
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,792,832
Proper Divisor Sum 5,137,357
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #7655467 ← → #7655489

Radix Representation

Decimal 7655475
Binary 11101001101000000110011 (23 bits)
Octal 0o35150063
Hexadecimal 0x74D033

Divisor Catalog (24)

1 3 5 15 25 75 103 309 515 991 1,545 2,575 2,973 4,955 7,725 14,865 24,775 74,325 102,073 306,219 510,365 1,531,095 2,551,825 7,655,475

Collatz Trajectory (111 steps to reach 1)

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

7,655,475 22,966,426 11,483,213 34,449,640 17,224,820 8,612,410 4,306,205 12,918,616 6,459,308 3,229,654 1,614,827 4,844,482 2,422,241 7,266,724 3,633,362 1,816,681 5,450,044 2,725,022 1,362,511 4,087,534 2,043,767 6,131,302 3,065,651 9,196,954 4,598,477 13,795,432 6,897,716 3,448,858 1,724,429 5,173,288 2,586,644 1,293,322 646,661 1,939,984 969,992 484,996 242,498 121,249 363,748 181,874 90,937 272,812 136,406 68,203 204,610 102,305 306,916 153,458 76,729 230,188 115,094 57,547 172,642 86,321 258,964 129,482 64,741 194,224 97,112 48,556

More profiles

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