4,035,002

2 × 29 × 73 × 953

4,035,002 factors as 2 × 29 × 73 × 953. Its 16 positive divisors give a proper-divisor sum of 2,318,638, so this integer is deficient. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 2 × 29 × 73 × 953

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,353,640

Proper Divisor Sum 2,318,638

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #4034999 ← → #4035007

Radix Representation

Decimal	4035002
Binary	1111011001000110111010 (22 bits)
Octal	0o17310672
Hexadecimal	0x3D91BA

Divisor Catalog (16)

1 2 29 58 73 146 953 1,906 2,117 4,234 27,637 55,274 69,569 139,138 2,017,501 4,035,002

Collatz Trajectory (136 steps to reach 1)

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

4,035,002 2,017,501 6,052,504 3,026,252 1,513,126 756,563 2,269,690 1,134,845 3,404,536 1,702,268 851,134 425,567 1,276,702 638,351 1,915,054 957,527 2,872,582 1,436,291 4,308,874 2,154,437 6,463,312 3,231,656 1,615,828 807,914 403,957 1,211,872 605,936 302,968 151,484 75,742 37,871 113,614 56,807 170,422 85,211 255,634 127,817 383,452 191,726 95,863 287,590 143,795 431,386 215,693 647,080 323,540 161,770 80,885 242,656 121,328 60,664 30,332 15,166 7,583 22,750 11,375 34,126 17,063 51,190 25,595

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