λ
Harmonic Matrix

7,600,439

72 × 11 × 59 × 239
Deficient Odd Composite

7,600,439 has digital root 2. The neighboring primes are 7600433 and 7600451; its proper-divisor sum differs from the starting integer by -5,351,278.

Prime Factor Structure

Factorization String 7^2 × 11 × 59 × 239
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,849,600
Proper Divisor Sum 2,249,161
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #7600433 ← → #7600451

Radix Representation

Decimal 7600439
Binary 11100111111100100110111 (23 bits)
Octal 0o34774467
Hexadecimal 0x73F937

Divisor Catalog (24)

1 7 11 49 59 77 239 413 539 649 1,673 2,629 2,891 4,543 11,711 14,101 18,403 31,801 98,707 128,821 155,111 690,949 1,085,777 7,600,439

Collatz Trajectory (103 steps to reach 1)

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

7,600,439 22,801,318 11,400,659 34,201,978 17,100,989 51,302,968 25,651,484 12,825,742 6,412,871 19,238,614 9,619,307 28,857,922 14,428,961 43,286,884 21,643,442 10,821,721 32,465,164 16,232,582 8,116,291 24,348,874 12,174,437 36,523,312 18,261,656 9,130,828 4,565,414 2,282,707 6,848,122 3,424,061 10,272,184 5,136,092 2,568,046 1,284,023 3,852,070 1,926,035 5,778,106 2,889,053 8,667,160 4,333,580 2,166,790 1,083,395 3,250,186 1,625,093 4,875,280 2,437,640 1,218,820 609,410 304,705 914,116 457,058 228,529 685,588 342,794 171,397 514,192 257,096 128,548 64,274 32,137 96,412 48,206

More profiles

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