λ
Prime Ledger

4,526,728

23 × 37 × 41 × 373
Deficient Even Composite

4,526,728 has the prime decomposition 2^3 × 37 × 41 × 373. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 37 × 41 × 373
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,953,560
Proper Divisor Sum 4,426,832
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #4526723 ← → #4526729

Radix Representation

Decimal 4526728
Binary 10001010001001010001000 (23 bits)
Octal 0o21211210
Hexadecimal 0x451288

Divisor Catalog (32)

1 2 4 8 37 41 74 82 148 164 296 328 373 746 1,492 1,517 2,984 3,034 6,068 12,136 13,801 15,293 27,602 30,586 55,204 61,172 110,408 122,344 565,841 1,131,682 2,263,364 4,526,728

Collatz Trajectory (131 steps to reach 1)

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

4,526,728 2,263,364 1,131,682 565,841 1,697,524 848,762 424,381 1,273,144 636,572 318,286 159,143 477,430 238,715 716,146 358,073 1,074,220 537,110 268,555 805,666 402,833 1,208,500 604,250 302,125 906,376 453,188 226,594 113,297 339,892 169,946 84,973 254,920 127,460 63,730 31,865 95,596 47,798 23,899 71,698 35,849 107,548 53,774 26,887 80,662 40,331 120,994 60,497 181,492 90,746 45,373 136,120 68,060 34,030 17,015 51,046 25,523 76,570 38,285 114,856 57,428 28,714

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