λ
Harmonic Matrix

5,632,471

13 × 433267
Deficient Odd Composite

5,632,471 has digital root 1. The neighboring primes are 5632453 and 5632477; its proper-divisor sum differs from the starting integer by -5,199,190.

Prime Factor Structure

Factorization String 13 × 433267
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,065,752
Proper Divisor Sum 433,281
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #5632453 ← → #5632477

Radix Representation

Decimal 5632471
Binary 10101011111000111010111 (23 bits)
Octal 0o25370727
Hexadecimal 0x55F1D7

Divisor Catalog (4)

1 13 433,267 5,632,471

Collatz Trajectory (201 steps to reach 1)

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

5,632,471 16,897,414 8,448,707 25,346,122 12,673,061 38,019,184 19,009,592 9,504,796 4,752,398 2,376,199 7,128,598 3,564,299 10,692,898 5,346,449 16,039,348 8,019,674 4,009,837 12,029,512 6,014,756 3,007,378 1,503,689 4,511,068 2,255,534 1,127,767 3,383,302 1,691,651 5,074,954 2,537,477 7,612,432 3,806,216 1,903,108 951,554 475,777 1,427,332 713,666 356,833 1,070,500 535,250 267,625 802,876 401,438 200,719 602,158 301,079 903,238 451,619 1,354,858 677,429 2,032,288 1,016,144 508,072 254,036 127,018 63,509 190,528 95,264 47,632 23,816 11,908 5,954

More profiles

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