λ
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Atlas › Integer Profiles › Node 4,531,329

4,531,329

33 × 112 × 19 × 73
Deficient Odd Composite

4,531,329 factors as 3^3 × 11^2 × 19 × 73. Its 48 positive divisors give a proper-divisor sum of 3,342,271, so this integer is deficient. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 3^3 × 11^2 × 19 × 73
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,873,600
Proper Divisor Sum 3,342,271
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4531327 ← → #4531339

Radix Representation

Decimal 4531329
Binary 10001010010010010000001 (23 bits)
Octal 0o21222201
Hexadecimal 0x452481

Divisor Catalog (48)

1 3 9 11 19 27 33 57 73 99 121 171 209 219 297 363 513 627 657 803 1,089 1,387 1,881 1,971 2,299 2,409 3,267 4,161 5,643 6,897 7,227 8,833 12,483 15,257 20,691 21,681 26,499 37,449 45,771 62,073 79,497 137,313 167,827 238,491 411,939 503,481 1,510,443 4,531,329

Collatz Trajectory (136 steps to reach 1)

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

4,531,329 13,593,988 6,796,994 3,398,497 10,195,492 5,097,746 2,548,873 7,646,620 3,823,310 1,911,655 5,734,966 2,867,483 8,602,450 4,301,225 12,903,676 6,451,838 3,225,919 9,677,758 4,838,879 14,516,638 7,258,319 21,774,958 10,887,479 32,662,438 16,331,219 48,993,658 24,496,829 73,490,488 36,745,244 18,372,622 9,186,311 27,558,934 13,779,467 41,338,402 20,669,201 62,007,604 31,003,802 15,501,901 46,505,704 23,252,852 11,626,426 5,813,213 17,439,640 8,719,820 4,359,910 2,179,955 6,539,866 3,269,933 9,809,800 4,904,900 2,452,450 1,226,225 3,678,676 1,839,338 919,669 2,759,008 1,379,504 689,752 344,876 172,438

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