λ
Harmonic Matrix

4,257,055

5 × 11 × 17 × 29 × 157
Deficient Odd Composite

4,257,055 has digital root 1. The neighboring primes are 4257053 and 4257061; its proper-divisor sum differs from the starting integer by -2,371,070.

Prime Factor Structure

Factorization String 5 × 11 × 17 × 29 × 157
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,143,040
Proper Divisor Sum 1,885,985
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4257053 ← → #4257061

Radix Representation

Decimal 4257055
Binary 10000001111010100011111 (23 bits)
Octal 0o20172437
Hexadecimal 0x40F51F

Divisor Catalog (32)

1 5 11 17 29 55 85 145 157 187 319 493 785 935 1,595 1,727 2,465 2,669 4,553 5,423 8,635 13,345 22,765 27,115 29,359 50,083 77,401 146,795 250,415 387,005 851,411 4,257,055

Collatz Trajectory (198 steps to reach 1)

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

4,257,055 12,771,166 6,385,583 19,156,750 9,578,375 28,735,126 14,367,563 43,102,690 21,551,345 64,654,036 32,327,018 16,163,509 48,490,528 24,245,264 12,122,632 6,061,316 3,030,658 1,515,329 4,545,988 2,272,994 1,136,497 3,409,492 1,704,746 852,373 2,557,120 1,278,560 639,280 319,640 159,820 79,910 39,955 119,866 59,933 179,800 89,900 44,950 22,475 67,426 33,713 101,140 50,570 25,285 75,856 37,928 18,964 9,482 4,741 14,224 7,112 3,556 1,778 889 2,668 1,334 667 2,002 1,001 3,004 1,502 751

More profiles

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