λ
Harmonic Matrix

9,729,149

9729149
Deficient Odd Prime

9,729,149 has digital root 5. The neighboring primes are 9729143 and 9729163; its proper-divisor sum differs from the starting integer by -9,729,148.

Prime Factor Structure

Factorization String 9729149
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 9,729,150
Proper Divisor Sum 1
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #9729143 ← → #9729163

Radix Representation

Decimal 9729149
Binary 100101000111010001111101 (24 bits)
Octal 0o45072175
Hexadecimal 0x94747D

Divisor Catalog (2)

Collatz Trajectory (238 steps to reach 1)

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

9,729,149 29,187,448 14,593,724 7,296,862 3,648,431 10,945,294 5,472,647 16,417,942 8,208,971 24,626,914 12,313,457 36,940,372 18,470,186 9,235,093 27,705,280 13,852,640 6,926,320 3,463,160 1,731,580 865,790 432,895 1,298,686 649,343 1,948,030 974,015 2,922,046 1,461,023 4,383,070 2,191,535 6,574,606 3,287,303 9,861,910 4,930,955 14,792,866 7,396,433 22,189,300 11,094,650 5,547,325 16,641,976 8,320,988 4,160,494 2,080,247 6,240,742 3,120,371 9,361,114 4,680,557 14,041,672 7,020,836 3,510,418 1,755,209 5,265,628 2,632,814 1,316,407 3,949,222 1,974,611 5,923,834 2,961,917 8,885,752 4,442,876 2,221,438

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