λ
Integer Codex

3,710,577

3 × 13 × 95143
Deficient Odd Composite

For 3,710,577, the 8 positive divisors have a total of 5,328,064. Removing 3,710,577 leaves 1,617,487, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 13 × 95143
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,328,064
Proper Divisor Sum 1,617,487
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3710561 ← → #3710593

Radix Representation

Decimal 3710577
Binary 1110001001111001110001 (22 bits)
Octal 0o16117161
Hexadecimal 0x389E71

Divisor Catalog (8)

1 3 13 39 95,143 285,429 1,236,859 3,710,577

Collatz Trajectory (172 steps to reach 1)

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

3,710,577 11,131,732 5,565,866 2,782,933 8,348,800 4,174,400 2,087,200 1,043,600 521,800 260,900 130,450 65,225 195,676 97,838 48,919 146,758 73,379 220,138 110,069 330,208 165,104 82,552 41,276 20,638 10,319 30,958 15,479 46,438 23,219 69,658 34,829 104,488 52,244 26,122 13,061 39,184 19,592 9,796 4,898 2,449 7,348 3,674 1,837 5,512 2,756 1,378 689 2,068 1,034 517 1,552 776 388 194 97 292 146 73 220 110

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