λ
Prime Ledger

7,748,977

31 × 249967
Deficient Odd Composite

7,748,977 has the prime decomposition 31 × 249967. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 31 × 249967
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,998,976
Proper Divisor Sum 249,999
Digit Sum / Digital Root 49 (Root: 4)
Adjacent Primes #7748969 ← → #7748981

Radix Representation

Decimal 7748977
Binary 11101100011110101110001 (23 bits)
Octal 0o35436561
Hexadecimal 0x763D71

Divisor Catalog (4)

1 31 249,967 7,748,977

Collatz Trajectory (173 steps to reach 1)

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

7,748,977 23,246,932 11,623,466 5,811,733 17,435,200 8,717,600 4,358,800 2,179,400 1,089,700 544,850 272,425 817,276 408,638 204,319 612,958 306,479 919,438 459,719 1,379,158 689,579 2,068,738 1,034,369 3,103,108 1,551,554 775,777 2,327,332 1,163,666 581,833 1,745,500 872,750 436,375 1,309,126 654,563 1,963,690 981,845 2,945,536 1,472,768 736,384 368,192 184,096 92,048 46,024 23,012 11,506 5,753 17,260 8,630 4,315 12,946 6,473 19,420 9,710 4,855 14,566 7,283 21,850 10,925 32,776 16,388 8,194

More profiles

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