λ
Harmonic Matrix

5,623,058

2 × 7 × 71 × 5657
Deficient Even Composite

5,623,058 has digital root 2. The neighboring primes are 5623043 and 5623081; its proper-divisor sum differs from the starting integer by -1,469,092.

Prime Factor Structure

Factorization String 2 × 7 × 71 × 5657
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,777,024
Proper Divisor Sum 4,153,966
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #5623043 ← → #5623081

Radix Representation

Decimal 5623058
Binary 10101011100110100010010 (23 bits)
Octal 0o25346422
Hexadecimal 0x55CD12

Divisor Catalog (16)

1 2 7 14 71 142 497 994 5,657 11,314 39,599 79,198 401,647 803,294 2,811,529 5,623,058

Collatz Trajectory (170 steps to reach 1)

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

5,623,058 2,811,529 8,434,588 4,217,294 2,108,647 6,325,942 3,162,971 9,488,914 4,744,457 14,233,372 7,116,686 3,558,343 10,675,030 5,337,515 16,012,546 8,006,273 24,018,820 12,009,410 6,004,705 18,014,116 9,007,058 4,503,529 13,510,588 6,755,294 3,377,647 10,132,942 5,066,471 15,199,414 7,599,707 22,799,122 11,399,561 34,198,684 17,099,342 8,549,671 25,649,014 12,824,507 38,473,522 19,236,761 57,710,284 28,855,142 14,427,571 43,282,714 21,641,357 64,924,072 32,462,036 16,231,018 8,115,509 24,346,528 12,173,264 6,086,632 3,043,316 1,521,658 760,829 2,282,488 1,141,244 570,622 285,311 855,934 427,967 1,283,902

More profiles

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