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Atlas › Integer Profiles › Node 3,616,569

3,616,569

36 × 112 × 41
Deficient Odd Composite

3,616,569 factors as 3^6 × 11^2 × 41. Its 42 positive divisors give a proper-divisor sum of 2,488,929, so this integer is deficient. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 3^6 × 11^2 × 41
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 42
Divisor Sum (σ) 6,105,498
Proper Divisor Sum 2,488,929
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3616549 ← → #3616573

Radix Representation

Decimal 3616569
Binary 1101110010111100111001 (22 bits)
Octal 0o15627471
Hexadecimal 0x372F39

Divisor Catalog (42)

1 3 9 11 27 33 41 81 99 121 123 243 297 363 369 451 729 891 1,089 1,107 1,353 2,673 3,267 3,321 4,059 4,961 8,019 9,801 9,963 12,177 14,883 29,403 29,889 36,531 44,649 88,209 109,593 133,947 328,779 401,841 1,205,523 3,616,569

Collatz Trajectory (141 steps to reach 1)

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

3,616,569 10,849,708 5,424,854 2,712,427 8,137,282 4,068,641 12,205,924 6,102,962 3,051,481 9,154,444 4,577,222 2,288,611 6,865,834 3,432,917 10,298,752 5,149,376 2,574,688 1,287,344 643,672 321,836 160,918 80,459 241,378 120,689 362,068 181,034 90,517 271,552 135,776 67,888 33,944 16,972 8,486 4,243 12,730 6,365 19,096 9,548 4,774 2,387 7,162 3,581 10,744 5,372 2,686 1,343 4,030 2,015 6,046 3,023 9,070 4,535 13,606 6,803 20,410 10,205 30,616 15,308 7,654 3,827

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