λ
Harmonic Matrix

7,992,129

3 × 2664043
Deficient Odd Composite

7,992,129 has digital root 3. The neighboring primes are 7992107 and 7992137; its proper-divisor sum differs from the starting integer by -5,328,082.

Prime Factor Structure

Factorization String 3 × 2664043
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 10,656,176
Proper Divisor Sum 2,664,047
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #7992107 ← → #7992137

Radix Representation

Decimal 7992129
Binary 11110011111001101000001 (23 bits)
Octal 0o36371501
Hexadecimal 0x79F341

Divisor Catalog (4)

1 3 2,664,043 7,992,129

Collatz Trajectory (155 steps to reach 1)

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

7,992,129 23,976,388 11,988,194 5,994,097 17,982,292 8,991,146 4,495,573 13,486,720 6,743,360 3,371,680 1,685,840 842,920 421,460 210,730 105,365 316,096 158,048 79,024 39,512 19,756 9,878 4,939 14,818 7,409 22,228 11,114 5,557 16,672 8,336 4,168 2,084 1,042 521 1,564 782 391 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161 484 242

More profiles

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