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Atlas › Integer Profiles › Node 6,037,312

6,037,312

26 × 17 × 31 × 179
Abundant Even Composite

6,037,312 factors as 2^6 × 17 × 31 × 179. Its 56 positive divisors give a proper-divisor sum of 7,130,048, so this integer is abundant. The Collatz stopping time is 90 steps.

Prime Factor Structure

Factorization String 2^6 × 17 × 31 × 179
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 13,167,360
Proper Divisor Sum 7,130,048
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #6037309 ← → #6037313

Radix Representation

Decimal 6037312
Binary 10111000001111101000000 (23 bits)
Octal 0o27017500
Hexadecimal 0x5C1F40

Divisor Catalog (56)

1 2 4 8 16 17 31 32 34 62 64 68 124 136 179 248 272 358 496 527 544 716 992 1,054 1,088 1,432 1,984 2,108 2,864 3,043 4,216 5,549 5,728 6,086 8,432 11,098 11,456 12,172 16,864 22,196 24,344 33,728 44,392 48,688 88,784 94,333 97,376 177,568 188,666 194,752 355,136 377,332 754,664 1,509,328 3,018,656 6,037,312

Collatz Trajectory (90 steps to reach 1)

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

6,037,312 3,018,656 1,509,328 754,664 377,332 188,666 94,333 283,000 141,500 70,750 35,375 106,126 53,063 159,190 79,595 238,786 119,393 358,180 179,090 89,545 268,636 134,318 67,159 201,478 100,739 302,218 151,109 453,328 226,664 113,332 56,666 28,333 85,000 42,500 21,250 10,625 31,876 15,938 7,969 23,908 11,954 5,977 17,932 8,966 4,483 13,450 6,725 20,176 10,088 5,044 2,522 1,261 3,784 1,892 946 473 1,420 710 355 1,066

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