λ
Harmonic Matrix

7,480,467

32 × 831163
Deficient Odd Composite

7,480,467 has digital root 9. The neighboring primes are 7480457 and 7480481; its proper-divisor sum differs from the starting integer by -4,155,802.

Prime Factor Structure

Factorization String 3^2 × 831163
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 10,805,132
Proper Divisor Sum 3,324,665
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7480457 ← → #7480481

Radix Representation

Decimal 7480467
Binary 11100100010010010010011 (23 bits)
Octal 0o34422223
Hexadecimal 0x722493

Divisor Catalog (6)

1 3 9 831,163 2,493,489 7,480,467

Collatz Trajectory (248 steps to reach 1)

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

7,480,467 22,441,402 11,220,701 33,662,104 16,831,052 8,415,526 4,207,763 12,623,290 6,311,645 18,934,936 9,467,468 4,733,734 2,366,867 7,100,602 3,550,301 10,650,904 5,325,452 2,662,726 1,331,363 3,994,090 1,997,045 5,991,136 2,995,568 1,497,784 748,892 374,446 187,223 561,670 280,835 842,506 421,253 1,263,760 631,880 315,940 157,970 78,985 236,956 118,478 59,239 177,718 88,859 266,578 133,289 399,868 199,934 99,967 299,902 149,951 449,854 224,927 674,782 337,391 1,012,174 506,087 1,518,262 759,131 2,277,394 1,138,697 3,416,092 1,708,046

More profiles

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