λ
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Atlas › Integer Profiles › Node 70,211,770

70,211,770

2 × 5 × 592 × 2017
Deficient Even Composite

70,211,770 factors as 2 × 5 × 59^2 × 2017. Its 24 positive divisors give a proper-divisor sum of 58,411,514, so this integer is deficient. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 2 × 5 × 59^2 × 2017
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 128,623,284
Proper Divisor Sum 58,411,514
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #70211767 ← → #70211789

Radix Representation

Decimal 70211770
Binary 100001011110101100010111010 (27 bits)
Octal 0o413654272
Hexadecimal 0x42F58BA

Divisor Catalog (24)

1 2 5 10 59 118 295 590 2,017 3,481 4,034 6,962 10,085 17,405 20,170 34,810 119,003 238,006 595,015 1,190,030 7,021,177 14,042,354 35,105,885 70,211,770

Collatz Trajectory (91 steps to reach 1)

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

70,211,770 35,105,885 105,317,656 52,658,828 26,329,414 13,164,707 39,494,122 19,747,061 59,241,184 29,620,592 14,810,296 7,405,148 3,702,574 1,851,287 5,553,862 2,776,931 8,330,794 4,165,397 12,496,192 6,248,096 3,124,048 1,562,024 781,012 390,506 195,253 585,760 292,880 146,440 73,220 36,610 18,305 54,916 27,458 13,729 41,188 20,594 10,297 30,892 15,446 7,723 23,170 11,585 34,756 17,378 8,689 26,068 13,034 6,517 19,552 9,776 4,888 2,444 1,222 611 1,834 917 2,752 1,376 688 344

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