λ
Harmonic Matrix

7,532,029

7532029
Deficient Odd Prime

7,532,029 has digital root 1. The neighboring primes are 7532027 and 7532033; its proper-divisor sum differs from the starting integer by -7,532,028.

Prime Factor Structure

Factorization String 7532029
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,532,030
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #7532027 ← → #7532033

Radix Representation

Decimal 7532029
Binary 11100101110110111111101 (23 bits)
Octal 0o34566775
Hexadecimal 0x72EDFD

Divisor Catalog (2)

Collatz Trajectory (204 steps to reach 1)

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

7,532,029 22,596,088 11,298,044 5,649,022 2,824,511 8,473,534 4,236,767 12,710,302 6,355,151 19,065,454 9,532,727 28,598,182 14,299,091 42,897,274 21,448,637 64,345,912 32,172,956 16,086,478 8,043,239 24,129,718 12,064,859 36,194,578 18,097,289 54,291,868 27,145,934 13,572,967 40,718,902 20,359,451 61,078,354 30,539,177 91,617,532 45,808,766 22,904,383 68,713,150 34,356,575 103,069,726 51,534,863 154,604,590 77,302,295 231,906,886 115,953,443 347,860,330 173,930,165 521,790,496 260,895,248 130,447,624 65,223,812 32,611,906 16,305,953 48,917,860 24,458,930 12,229,465 36,688,396 18,344,198 9,172,099 27,516,298 13,758,149 41,274,448 20,637,224 10,318,612

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