λ
Harmonic Matrix

7,774,471

7774471
Deficient Odd Prime

7,774,471 has digital root 1. The neighboring primes are 7774463 and 7774499; its proper-divisor sum differs from the starting integer by -7,774,470.

Prime Factor Structure

Factorization String 7774471
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,774,472
Proper Divisor Sum 1
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #7774463 ← → #7774499

Radix Representation

Decimal 7774471
Binary 11101101010000100000111 (23 bits)
Octal 0o35520407
Hexadecimal 0x76A107

Divisor Catalog (2)

Collatz Trajectory (155 steps to reach 1)

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

7,774,471 23,323,414 11,661,707 34,985,122 17,492,561 52,477,684 26,238,842 13,119,421 39,358,264 19,679,132 9,839,566 4,919,783 14,759,350 7,379,675 22,139,026 11,069,513 33,208,540 16,604,270 8,302,135 24,906,406 12,453,203 37,359,610 18,679,805 56,039,416 28,019,708 14,009,854 7,004,927 21,014,782 10,507,391 31,522,174 15,761,087 47,283,262 23,641,631 70,924,894 35,462,447 106,387,342 53,193,671 159,581,014 79,790,507 239,371,522 119,685,761 359,057,284 179,528,642 89,764,321 269,292,964 134,646,482 67,323,241 201,969,724 100,984,862 50,492,431 151,477,294 75,738,647 227,215,942 113,607,971 340,823,914 170,411,957 511,235,872 255,617,936 127,808,968 63,904,484

More profiles

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