λ
Harmonic Matrix

7,077,397

37 × 191281
Deficient Odd Composite

7,077,397 has digital root 4. The neighboring primes are 7077391 and 7077409; its proper-divisor sum differs from the starting integer by -6,886,078.

Prime Factor Structure

Factorization String 37 × 191281
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,268,716
Proper Divisor Sum 191,319
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #7077391 ← → #7077409

Radix Representation

Decimal 7077397
Binary 11010111111111000010101 (23 bits)
Octal 0o32777025
Hexadecimal 0x6BFE15

Divisor Catalog (4)

1 37 191,281 7,077,397

Collatz Trajectory (222 steps to reach 1)

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

7,077,397 21,232,192 10,616,096 5,308,048 2,654,024 1,327,012 663,506 331,753 995,260 497,630 248,815 746,446 373,223 1,119,670 559,835 1,679,506 839,753 2,519,260 1,259,630 629,815 1,889,446 944,723 2,834,170 1,417,085 4,251,256 2,125,628 1,062,814 531,407 1,594,222 797,111 2,391,334 1,195,667 3,587,002 1,793,501 5,380,504 2,690,252 1,345,126 672,563 2,017,690 1,008,845 3,026,536 1,513,268 756,634 378,317 1,134,952 567,476 283,738 141,869 425,608 212,804 106,402 53,201 159,604 79,802 39,901 119,704 59,852 29,926 14,963 44,890

More profiles

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