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Atlas › Integer Profiles › Node 48,420,170

48,420,170

2 × 5 × 19 × 73 × 3491
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 19 × 73 × 3491
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 93,026,880
Proper Divisor Sum 44,606,710
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #48420167 ← → #48420181

Radix Representation

Decimal 48420170
Binary 10111000101101010101001010 (26 bits)
Octal 0o270552512
Hexadecimal 0x2E2D54A

Divisor Catalog (32)

1 2 5 10 19 38 73 95 146 190 365 730 1,387 2,774 3,491 6,935 6,982 13,870 17,455 34,910 66,329 132,658 254,843 331,645 509,686 663,290 1,274,215 2,548,430 4,842,017 9,684,034 24,210,085 48,420,170

Collatz Trajectory (142 steps to reach 1)

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

48,420,170 24,210,085 72,630,256 36,315,128 18,157,564 9,078,782 4,539,391 13,618,174 6,809,087 20,427,262 10,213,631 30,640,894 15,320,447 45,961,342 22,980,671 68,942,014 34,471,007 103,413,022 51,706,511 155,119,534 77,559,767 232,679,302 116,339,651 349,018,954 174,509,477 523,528,432 261,764,216 130,882,108 65,441,054 32,720,527 98,161,582 49,080,791 147,242,374 73,621,187 220,863,562 110,431,781 331,295,344 165,647,672 82,823,836 41,411,918 20,705,959 62,117,878 31,058,939 93,176,818 46,588,409 139,765,228 69,882,614 34,941,307 104,823,922 52,411,961 157,235,884 78,617,942 39,308,971 117,926,914 58,963,457 176,890,372 88,445,186 44,222,593 132,667,780 66,333,890

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