3,977,463

3 × 7 × 37 × 5119

3,977,463 factors as 3 × 7 × 37 × 5119. Its 16 positive divisors give a proper-divisor sum of 2,248,457, so this integer is deficient. The Collatz stopping time is 154 steps.

Prime Factor Structure

Factorization String 3 × 7 × 37 × 5119

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,225,920

Proper Divisor Sum 2,248,457

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #3977461 ← → #3977471

Radix Representation

Decimal	3977463
Binary	1111001011000011110111 (22 bits)
Octal	0o17130367
Hexadecimal	0x3CB0F7

Divisor Catalog (16)

1 3 7 21 37 111 259 777 5,119 15,357 35,833 107,499 189,403 568,209 1,325,821 3,977,463

Collatz Trajectory (154 steps to reach 1)

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

3,977,463 11,932,390 5,966,195 17,898,586 8,949,293 26,847,880 13,423,940 6,711,970 3,355,985 10,067,956 5,033,978 2,516,989 7,550,968 3,775,484 1,887,742 943,871 2,831,614 1,415,807 4,247,422 2,123,711 6,371,134 3,185,567 9,556,702 4,778,351 14,335,054 7,167,527 21,502,582 10,751,291 32,253,874 16,126,937 48,380,812 24,190,406 12,095,203 36,285,610 18,142,805 54,428,416 27,214,208 13,607,104 6,803,552 3,401,776 1,700,888 850,444 425,222 212,611 637,834 318,917 956,752 478,376 239,188 119,594 59,797 179,392 89,696 44,848 22,424 11,212 5,606 2,803 8,410 4,205

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