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Atlas › Integer Profiles › Node 59,645,504

59,645,504

26 × 379 × 2459
Deficient Even Composite

59,645,504 factors as 2^6 × 379 × 2459. Its 28 positive divisors give a proper-divisor sum of 59,074,096, so this integer is deficient. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 2^6 × 379 × 2459
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 118,719,600
Proper Divisor Sum 59,074,096
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #59645497 ← → #59645533

Radix Representation

Decimal 59645504
Binary 11100011100001111001000000 (26 bits)
Octal 0o343417100
Hexadecimal 0x38E1E40

Divisor Catalog (28)

1 2 4 8 16 32 64 379 758 1,516 2,459 3,032 4,918 6,064 9,836 12,128 19,672 24,256 39,344 78,688 157,376 931,961 1,863,922 3,727,844 7,455,688 14,911,376 29,822,752 59,645,504

Collatz Trajectory (176 steps to reach 1)

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

59,645,504 29,822,752 14,911,376 7,455,688 3,727,844 1,863,922 931,961 2,795,884 1,397,942 698,971 2,096,914 1,048,457 3,145,372 1,572,686 786,343 2,359,030 1,179,515 3,538,546 1,769,273 5,307,820 2,653,910 1,326,955 3,980,866 1,990,433 5,971,300 2,985,650 1,492,825 4,478,476 2,239,238 1,119,619 3,358,858 1,679,429 5,038,288 2,519,144 1,259,572 629,786 314,893 944,680 472,340 236,170 118,085 354,256 177,128 88,564 44,282 22,141 66,424 33,212 16,606 8,303 24,910 12,455 37,366 18,683 56,050 28,025 84,076 42,038 21,019 63,058

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