1,407,528

2³ × 3² × 113 × 173

Starting at 1,407,528, the Collatz iteration reaches 1 after 106 steps. The first transition is 703764; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 113 × 173

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 3,868,020

Proper Divisor Sum 2,460,492

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1407503 ← → #1407533

Radix Representation

Decimal	1407528
Binary	101010111101000101000 (21 bits)
Octal	0o5275050
Hexadecimal	0x157A28

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 36 72 113 173 226 339 346 452 519 678 692 904 1,017 1,038 1,356 1,384 1,557 2,034 2,076 2,712 3,114 4,068 4,152 6,228 8,136 12,456 19,549 39,098 58,647 78,196 117,294 156,392 175,941 234,588 351,882 469,176 703,764 1,407,528

Collatz Trajectory (106 steps to reach 1)

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

1,407,528 703,764 351,882 175,941 527,824 263,912 131,956 65,978 32,989 98,968 49,484 24,742 12,371 37,114 18,557 55,672 27,836 13,918 6,959 20,878 10,439 31,318 15,659 46,978 23,489 70,468 35,234 17,617 52,852 26,426 13,213 39,640 19,820 9,910 4,955 14,866 7,433 22,300 11,150 5,575 16,726 8,363 25,090 12,545 37,636 18,818 9,409 28,228 14,114 7,057 21,172 10,586 5,293 15,880 7,940 3,970 1,985 5,956 2,978 1,489

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