λ
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Atlas › Integer Profiles › Node 92,802,470

92,802,470

2 × 5 × 232 × 53 × 331
Deficient Even Composite

92,802,470 factors as 2 × 5 × 23^2 × 53 × 331. Its 48 positive divisors give a proper-divisor sum of 85,652,842, so this integer is deficient. The Collatz stopping time is 192 steps.

Prime Factor Structure

Factorization String 2 × 5 × 23^2 × 53 × 331
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 178,455,312
Proper Divisor Sum 85,652,842
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #92802469 ← → #92802497

Radix Representation

Decimal 92802470
Binary 101100010000000110110100110 (27 bits)
Octal 0o542006646
Hexadecimal 0x5880DA6

Divisor Catalog (48)

1 2 5 10 23 46 53 106 115 230 265 331 529 530 662 1,058 1,219 1,655 2,438 2,645 3,310 5,290 6,095 7,613 12,190 15,226 17,543 28,037 35,086 38,065 56,074 76,130 87,715 140,185 175,099 175,430 280,370 350,198 403,489 806,978 875,495 1,750,990 2,017,445 4,034,890 9,280,247 18,560,494 46,401,235 92,802,470

Collatz Trajectory (192 steps to reach 1)

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

92,802,470 46,401,235 139,203,706 69,601,853 208,805,560 104,402,780 52,201,390 26,100,695 78,302,086 39,151,043 117,453,130 58,726,565 176,179,696 88,089,848 44,044,924 22,022,462 11,011,231 33,033,694 16,516,847 49,550,542 24,775,271 74,325,814 37,162,907 111,488,722 55,744,361 167,233,084 83,616,542 41,808,271 125,424,814 62,712,407 188,137,222 94,068,611 282,205,834 141,102,917 423,308,752 211,654,376 105,827,188 52,913,594 26,456,797 79,370,392 39,685,196 19,842,598 9,921,299 29,763,898 14,881,949 44,645,848 22,322,924 11,161,462 5,580,731 16,742,194 8,371,097 25,113,292 12,556,646 6,278,323 18,834,970 9,417,485 28,252,456 14,126,228 7,063,114 3,531,557

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