λ
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Atlas › Integer Profiles › Node 65,324,961

65,324,961

36 × 13 × 61 × 113
Deficient Odd Composite

65,324,961 factors as 3^6 × 13 × 61 × 113. Its 56 positive divisors give a proper-divisor sum of 42,829,575, so this integer is deficient. The Collatz stopping time is 189 steps.

Prime Factor Structure

Factorization String 3^6 × 13 × 61 × 113
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 108,154,536
Proper Divisor Sum 42,829,575
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #65324953 ← → #65324989

Radix Representation

Decimal 65324961
Binary 11111001001100011110100001 (26 bits)
Octal 0o371143641
Hexadecimal 0x3E4C7A1

Divisor Catalog (56)

1 3 9 13 27 39 61 81 113 117 183 243 339 351 549 729 793 1,017 1,053 1,469 1,647 2,379 3,051 3,159 4,407 4,941 6,893 7,137 9,153 9,477 13,221 14,823 20,679 21,411 27,459 39,663 44,469 62,037 64,233 82,377 89,609 118,989 186,111 192,699 268,827 356,967 558,333 578,097 806,481 1,070,901 1,674,999 2,419,443 5,024,997 7,258,329 21,774,987 65,324,961

Collatz Trajectory (189 steps to reach 1)

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

65,324,961 195,974,884 97,987,442 48,993,721 146,981,164 73,490,582 36,745,291 110,235,874 55,117,937 165,353,812 82,676,906 41,338,453 124,015,360 62,007,680 31,003,840 15,501,920 7,750,960 3,875,480 1,937,740 968,870 484,435 1,453,306 726,653 2,179,960 1,089,980 544,990 272,495 817,486 408,743 1,226,230 613,115 1,839,346 919,673 2,759,020 1,379,510 689,755 2,069,266 1,034,633 3,103,900 1,551,950 775,975 2,327,926 1,163,963 3,491,890 1,745,945 5,237,836 2,618,918 1,309,459 3,928,378 1,964,189 5,892,568 2,946,284 1,473,142 736,571 2,209,714 1,104,857 3,314,572 1,657,286 828,643 2,485,930

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