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Atlas › Integer Profiles › Node 2,437,995

2,437,995

3 × 5 × 72 × 31 × 107
Deficient Odd Composite

2,437,995 factors as 3 × 5 × 7^2 × 31 × 107. Its 48 positive divisors give a proper-divisor sum of 2,289,813, so this integer is deficient. The Collatz stopping time is 205 steps.

Prime Factor Structure

Factorization String 3 × 5 × 7^2 × 31 × 107
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,727,808
Proper Divisor Sum 2,289,813
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #2437993 ← → #2437997

Radix Representation

Decimal 2437995
Binary 1001010011001101101011 (22 bits)
Octal 0o11231553
Hexadecimal 0x25336B

Divisor Catalog (48)

1 3 5 7 15 21 31 35 49 93 105 107 147 155 217 245 321 465 535 651 735 749 1,085 1,519 1,605 2,247 3,255 3,317 3,745 4,557 5,243 7,595 9,951 11,235 15,729 16,585 22,785 23,219 26,215 49,755 69,657 78,645 116,095 162,533 348,285 487,599 812,665 2,437,995

Collatz Trajectory (205 steps to reach 1)

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

2,437,995 7,313,986 3,656,993 10,970,980 5,485,490 2,742,745 8,228,236 4,114,118 2,057,059 6,171,178 3,085,589 9,256,768 4,628,384 2,314,192 1,157,096 578,548 289,274 144,637 433,912 216,956 108,478 54,239 162,718 81,359 244,078 122,039 366,118 183,059 549,178 274,589 823,768 411,884 205,942 102,971 308,914 154,457 463,372 231,686 115,843 347,530 173,765 521,296 260,648 130,324 65,162 32,581 97,744 48,872 24,436 12,218 6,109 18,328 9,164 4,582 2,291 6,874 3,437 10,312 5,156 2,578

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