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Atlas › Integer Profiles › Node 1,161,420

1,161,420

22 × 3 × 5 × 13 × 1489
Abundant Even Composite

1,161,420 factors as 2^2 × 3 × 5 × 13 × 1489. Its 48 positive divisors give a proper-divisor sum of 2,343,060, so this integer is abundant. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 13 × 1489
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 3,504,480
Proper Divisor Sum 2,343,060
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #1161403 ← → #1161437

Radix Representation

Decimal 1161420
Binary 100011011100011001100 (21 bits)
Octal 0o4334314
Hexadecimal 0x11B8CC

Divisor Catalog (48)

1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 1,489 2,978 4,467 5,956 7,445 8,934 14,890 17,868 19,357 22,335 29,780 38,714 44,670 58,071 77,428 89,340 96,785 116,142 193,570 232,284 290,355 387,140 580,710 1,161,420

Collatz Trajectory (178 steps to reach 1)

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

1,161,420 580,710 290,355 871,066 435,533 1,306,600 653,300 326,650 163,325 489,976 244,988 122,494 61,247 183,742 91,871 275,614 137,807 413,422 206,711 620,134 310,067 930,202 465,101 1,395,304 697,652 348,826 174,413 523,240 261,620 130,810 65,405 196,216 98,108 49,054 24,527 73,582 36,791 110,374 55,187 165,562 82,781 248,344 124,172 62,086 31,043 93,130 46,565 139,696 69,848 34,924 17,462 8,731 26,194 13,097 39,292 19,646 9,823 29,470 14,735 44,206

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