λ
Harmonic Matrix

9,960,038

2 × 11 × 401 × 1129
Deficient Even Composite

9,960,038 has digital root 8. The neighboring primes are 9960031 and 9960043; its proper-divisor sum differs from the starting integer by -3,566,716.

Prime Factor Structure

Factorization String 2 × 11 × 401 × 1129
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 16,353,360
Proper Divisor Sum 6,393,322
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9960031 ← → #9960043

Radix Representation

Decimal 9960038
Binary 100101111111101001100110 (24 bits)
Octal 0o45775146
Hexadecimal 0x97FA66

Divisor Catalog (16)

1 2 11 22 401 802 1,129 2,258 4,411 8,822 12,419 24,838 452,729 905,458 4,980,019 9,960,038

Collatz Trajectory (145 steps to reach 1)

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

9,960,038 4,980,019 14,940,058 7,470,029 22,410,088 11,205,044 5,602,522 2,801,261 8,403,784 4,201,892 2,100,946 1,050,473 3,151,420 1,575,710 787,855 2,363,566 1,181,783 3,545,350 1,772,675 5,318,026 2,659,013 7,977,040 3,988,520 1,994,260 997,130 498,565 1,495,696 747,848 373,924 186,962 93,481 280,444 140,222 70,111 210,334 105,167 315,502 157,751 473,254 236,627 709,882 354,941 1,064,824 532,412 266,206 133,103 399,310 199,655 598,966 299,483 898,450 449,225 1,347,676 673,838 336,919 1,010,758 505,379 1,516,138 758,069 2,274,208

More profiles

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