λ
Harmonic Matrix

7,636,301

211 × 36191
Deficient Odd Composite

7,636,301 has digital root 8. The neighboring primes are 7636273 and 7636303; its proper-divisor sum differs from the starting integer by -7,599,898.

Prime Factor Structure

Factorization String 211 × 36191
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,672,704
Proper Divisor Sum 36,403
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #7636273 ← → #7636303

Radix Representation

Decimal 7636301
Binary 11101001000010101001101 (23 bits)
Octal 0o35102515
Hexadecimal 0x74854D

Divisor Catalog (4)

1 211 36,191 7,636,301

Collatz Trajectory (103 steps to reach 1)

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

7,636,301 22,908,904 11,454,452 5,727,226 2,863,613 8,590,840 4,295,420 2,147,710 1,073,855 3,221,566 1,610,783 4,832,350 2,416,175 7,248,526 3,624,263 10,872,790 5,436,395 16,309,186 8,154,593 24,463,780 12,231,890 6,115,945 18,347,836 9,173,918 4,586,959 13,760,878 6,880,439 20,641,318 10,320,659 30,961,978 15,480,989 46,442,968 23,221,484 11,610,742 5,805,371 17,416,114 8,708,057 26,124,172 13,062,086 6,531,043 19,593,130 9,796,565 29,389,696 14,694,848 7,347,424 3,673,712 1,836,856 918,428 459,214 229,607 688,822 344,411 1,033,234 516,617 1,549,852 774,926 387,463 1,162,390 581,195 1,743,586

More profiles

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